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Finding the Fourth Proportional to 602.76, 832.23 and 471.54

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Solution

The fourth proportional to 602.76, 832.23 and 471.54 is: 651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.76 : 832.23 = 471.54 : x
  2. Step 2: Convert to fraction form
    602.76/832.23 = 471.54/x
  3. Step 3: Cross multiply
    602.76x = 832.23 × 471.54
  4. Step 4: Simplify right side
    602.76x = 392,429.73
  5. Step 5: Solve for x
    x = 392,429.73/602.76
  6. Step 6: Final answer
    x = 651.05

Related Problems

Find fourth proportional to 301.38, 416.12 and 235.77
Half scale
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Double scale
Find fourth proportional to 603.76, 833.61 and 472.54
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.