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Finding the Fourth Proportional to 502.72, 754.24 and 286.24

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Solution

The fourth proportional to 502.72, 754.24 and 286.24 is: 429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.72 : 754.24 = 286.24 : x
  2. Step 2: Convert to fraction form
    502.72/754.24 = 286.24/x
  3. Step 3: Cross multiply
    502.72x = 754.24 × 286.24
  4. Step 4: Simplify right side
    502.72x = 215,893.66
  5. Step 5: Solve for x
    x = 215,893.66/502.72
  6. Step 6: Final answer
    x = 429.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.