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Finding the Fourth Proportional to 632.76, 872.82 and 400.02

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Solution

The fourth proportional to 632.76, 872.82 and 400.02 is: 551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.76 : 872.82 = 400.02 : x
  2. Step 2: Convert to fraction form
    632.76/872.82 = 400.02/x
  3. Step 3: Cross multiply
    632.76x = 872.82 × 400.02
  4. Step 4: Simplify right side
    632.76x = 349,145.46
  5. Step 5: Solve for x
    x = 349,145.46/632.76
  6. Step 6: Final answer
    x = 551.78

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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.