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Finding the Fourth Proportional to 457.92, 631.96 and 261.46

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Solution

The fourth proportional to 457.92, 631.96 and 261.46 is: 360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 631.96 = 261.46 : x
  2. Step 2: Convert to fraction form
    457.92/631.96 = 261.46/x
  3. Step 3: Cross multiply
    457.92x = 631.96 × 261.46
  4. Step 4: Simplify right side
    457.92x = 165,232.26
  5. Step 5: Solve for x
    x = 165,232.26/457.92
  6. Step 6: Final answer
    x = 360.83

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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.