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Finding the Fourth Proportional to 457.99, 632.14 and 271.53

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Solution

The fourth proportional to 457.99, 632.14 and 271.53 is: 374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.99 : 632.14 = 271.53 : x
  2. Step 2: Convert to fraction form
    457.99/632.14 = 271.53/x
  3. Step 3: Cross multiply
    457.99x = 632.14 × 271.53
  4. Step 4: Simplify right side
    457.99x = 171,644.30
  5. Step 5: Solve for x
    x = 171,644.30/457.99
  6. Step 6: Final answer
    x = 374.78

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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.