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Finding the Fourth Proportional to 632.61, 872.98 and 383.94

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Solution

The fourth proportional to 632.61, 872.98 and 383.94 is: 529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.61 : 872.98 = 383.94 : x
  2. Step 2: Convert to fraction form
    632.61/872.98 = 383.94/x
  3. Step 3: Cross multiply
    632.61x = 872.98 × 383.94
  4. Step 4: Simplify right side
    632.61x = 335,170.98
  5. Step 5: Solve for x
    x = 335,170.98/632.61
  6. Step 6: Final answer
    x = 529.82

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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.