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Finding the Fourth Proportional to 457.97, 632.06 and 271.47

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Solution

The fourth proportional to 457.97, 632.06 and 271.47 is: 374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.97 : 632.06 = 271.47 : x
  2. Step 2: Convert to fraction form
    457.97/632.06 = 271.47/x
  3. Step 3: Cross multiply
    457.97x = 632.06 × 271.47
  4. Step 4: Simplify right side
    457.97x = 171,585.58
  5. Step 5: Solve for x
    x = 171,585.58/457.97
  6. Step 6: Final answer
    x = 374.66

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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.