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Finding the Fourth Proportional to 576.13, 793.04 and 502.31

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Solution

The fourth proportional to 576.13, 793.04 and 502.31 is: 691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.13 : 793.04 = 502.31 : x
  2. Step 2: Convert to fraction form
    576.13/793.04 = 502.31/x
  3. Step 3: Cross multiply
    576.13x = 793.04 × 502.31
  4. Step 4: Simplify right side
    576.13x = 398,355.16
  5. Step 5: Solve for x
    x = 398,355.16/576.13
  6. Step 6: Final answer
    x = 691.44

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