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Finding the Fourth Proportional to 457.97, 631.31 and 292.14

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Solution

The fourth proportional to 457.97, 631.31 and 292.14 is: 402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.97 : 631.31 = 292.14 : x
  2. Step 2: Convert to fraction form
    457.97/631.31 = 292.14/x
  3. Step 3: Cross multiply
    457.97x = 631.31 × 292.14
  4. Step 4: Simplify right side
    457.97x = 184,429.44
  5. Step 5: Solve for x
    x = 184,429.44/457.97
  6. Step 6: Final answer
    x = 402.72

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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.