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Finding the Fourth Proportional to 457.82, 631.76 and 261.42

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Solution

The fourth proportional to 457.82, 631.76 and 261.42 is: 360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.82 : 631.76 = 261.42 : x
  2. Step 2: Convert to fraction form
    457.82/631.76 = 261.42/x
  3. Step 3: Cross multiply
    457.82x = 631.76 × 261.42
  4. Step 4: Simplify right side
    457.82x = 165,154.70
  5. Step 5: Solve for x
    x = 165,154.70/457.82
  6. Step 6: Final answer
    x = 360.74

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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.