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Finding the Fourth Proportional to 458.53, 632.61 and 271.96

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Solution

The fourth proportional to 458.53, 632.61 and 271.96 is: 375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.53 : 632.61 = 271.96 : x
  2. Step 2: Convert to fraction form
    458.53/632.61 = 271.96/x
  3. Step 3: Cross multiply
    458.53x = 632.61 × 271.96
  4. Step 4: Simplify right side
    458.53x = 172,043.03
  5. Step 5: Solve for x
    x = 172,043.03/458.53
  6. Step 6: Final answer
    x = 375.21

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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.