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Finding the Fourth Proportional to 457.26, 631.25 and 363.71

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Solution

The fourth proportional to 457.26, 631.25 and 363.71 is: 502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.26 : 631.25 = 363.71 : x
  2. Step 2: Convert to fraction form
    457.26/631.25 = 363.71/x
  3. Step 3: Cross multiply
    457.26x = 631.25 × 363.71
  4. Step 4: Simplify right side
    457.26x = 229,586.96
  5. Step 5: Solve for x
    x = 229,586.96/457.26
  6. Step 6: Final answer
    x = 502.09

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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.