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Finding the Fourth Proportional to 502.25, 754.01 and 296.96

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Solution

The fourth proportional to 502.25, 754.01 and 296.96 is: 445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.25 : 754.01 = 296.96 : x
  2. Step 2: Convert to fraction form
    502.25/754.01 = 296.96/x
  3. Step 3: Cross multiply
    502.25x = 754.01 × 296.96
  4. Step 4: Simplify right side
    502.25x = 223,909.32
  5. Step 5: Solve for x
    x = 223,909.32/502.25
  6. Step 6: Final answer
    x = 445.81

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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.