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Finding the Fourth Proportional to 530.92, 730.98 and 502.12

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Solution

The fourth proportional to 530.92, 730.98 and 502.12 is: 691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.92 : 730.98 = 502.12 : x
  2. Step 2: Convert to fraction form
    530.92/730.98 = 502.12/x
  3. Step 3: Cross multiply
    530.92x = 730.98 × 502.12
  4. Step 4: Simplify right side
    530.92x = 367,039.68
  5. Step 5: Solve for x
    x = 367,039.68/530.92
  6. Step 6: Final answer
    x = 691.33

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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.