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Finding the Fourth Proportional to 529.74, 730.87 and 363.96

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Solution

The fourth proportional to 529.74, 730.87 and 363.96 is: 502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.74 : 730.87 = 363.96 : x
  2. Step 2: Convert to fraction form
    529.74/730.87 = 363.96/x
  3. Step 3: Cross multiply
    529.74x = 730.87 × 363.96
  4. Step 4: Simplify right side
    529.74x = 266,007.45
  5. Step 5: Solve for x
    x = 266,007.45/529.74
  6. Step 6: Final answer
    x = 502.15

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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.