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Finding the Fourth Proportional to 632.54, 872.92 and 383.82

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Solution

The fourth proportional to 632.54, 872.92 and 383.82 is: 529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.54 : 872.92 = 383.82 : x
  2. Step 2: Convert to fraction form
    632.54/872.92 = 383.82/x
  3. Step 3: Cross multiply
    632.54x = 872.92 × 383.82
  4. Step 4: Simplify right side
    632.54x = 335,044.15
  5. Step 5: Solve for x
    x = 335,044.15/632.54
  6. Step 6: Final answer
    x = 529.68

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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.