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Finding the Fourth Proportional to 502.35, 752.58 and 296.31

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Solution

The fourth proportional to 502.35, 752.58 and 296.31 is: 443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.35 : 752.58 = 296.31 : x
  2. Step 2: Convert to fraction form
    502.35/752.58 = 296.31/x
  3. Step 3: Cross multiply
    502.35x = 752.58 × 296.31
  4. Step 4: Simplify right side
    502.35x = 222,996.98
  5. Step 5: Solve for x
    x = 222,996.98/502.35
  6. Step 6: Final answer
    x = 443.91

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Why These Related Problems?

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