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Finding the Fourth Proportional to 458.71, 632.41 and 327.49

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Solution

The fourth proportional to 458.71, 632.41 and 327.49 is: 451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.71 : 632.41 = 327.49 : x
  2. Step 2: Convert to fraction form
    458.71/632.41 = 327.49/x
  3. Step 3: Cross multiply
    458.71x = 632.41 × 327.49
  4. Step 4: Simplify right side
    458.71x = 207,107.95
  5. Step 5: Solve for x
    x = 207,107.95/458.71
  6. Step 6: Final answer
    x = 451.50

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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.