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Finding the Fourth Proportional to 593.86, 819.59 and 345.19

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Solution

The fourth proportional to 593.86, 819.59 and 345.19 is: 476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.86 : 819.59 = 345.19 : x
  2. Step 2: Convert to fraction form
    593.86/819.59 = 345.19/x
  3. Step 3: Cross multiply
    593.86x = 819.59 × 345.19
  4. Step 4: Simplify right side
    593.86x = 282,914.27
  5. Step 5: Solve for x
    x = 282,914.27/593.86
  6. Step 6: Final answer
    x = 476.40

Related Problems

Find fourth proportional to 296.93, 409.80 and 172.60
Half scale
Find fourth proportional to 1,187.72, 1,639.18 and 690.38
Double scale
Find fourth proportional to 594.86, 820.97 and 346.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.