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Finding the Fourth Proportional to 457.97, 631.33 and 292.05

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Solution

The fourth proportional to 457.97, 631.33 and 292.05 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.97 : 631.33 = 292.05 : x
  2. Step 2: Convert to fraction form
    457.97/631.33 = 292.05/x
  3. Step 3: Cross multiply
    457.97x = 631.33 × 292.05
  4. Step 4: Simplify right side
    457.97x = 184,379.20
  5. Step 5: Solve for x
    x = 184,379.20/457.97
  6. Step 6: Final answer
    x = 402.61

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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.