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Finding the Fourth Proportional to 458.23, 632.20 and 271.78

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Solution

The fourth proportional to 458.23, 632.20 and 271.78 is: 374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.23 : 632.20 = 271.78 : x
  2. Step 2: Convert to fraction form
    458.23/632.20 = 271.78/x
  3. Step 3: Cross multiply
    458.23x = 632.20 × 271.78
  4. Step 4: Simplify right side
    458.23x = 171,819.32
  5. Step 5: Solve for x
    x = 171,819.32/458.23
  6. Step 6: Final answer
    x = 374.96

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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.