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Finding the Fourth Proportional to 457.92, 632.16 and 327.78

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Solution

The fourth proportional to 457.92, 632.16 and 327.78 is: 452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 632.16 = 327.78 : x
  2. Step 2: Convert to fraction form
    457.92/632.16 = 327.78/x
  3. Step 3: Cross multiply
    457.92x = 632.16 × 327.78
  4. Step 4: Simplify right side
    457.92x = 207,209.40
  5. Step 5: Solve for x
    x = 207,209.40/457.92
  6. Step 6: Final answer
    x = 452.50

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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.