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Finding the Fourth Proportional to 410.19, 566.03 and 233.15

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Solution

The fourth proportional to 410.19, 566.03 and 233.15 is: 321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.19 : 566.03 = 233.15 : x
  2. Step 2: Convert to fraction form
    410.19/566.03 = 233.15/x
  3. Step 3: Cross multiply
    410.19x = 566.03 × 233.15
  4. Step 4: Simplify right side
    410.19x = 131,968.73
  5. Step 5: Solve for x
    x = 131,968.73/410.19
  6. Step 6: Final answer
    x = 321.73

Related Problems

Find fourth proportional to 205.10, 283.01 and 116.58
Half scale
Find fourth proportional to 820.38, 1,132.05 and 466.30
Double scale
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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.