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Finding the Fourth Proportional to 458.20, 632.32 and 261.76

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Solution

The fourth proportional to 458.20, 632.32 and 261.76 is: 361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.20 : 632.32 = 261.76 : x
  2. Step 2: Convert to fraction form
    458.20/632.32 = 261.76/x
  3. Step 3: Cross multiply
    458.20x = 632.32 × 261.76
  4. Step 4: Simplify right side
    458.20x = 165,516.08
  5. Step 5: Solve for x
    x = 165,516.08/458.20
  6. Step 6: Final answer
    x = 361.23

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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.