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Finding the Fourth Proportional to 627.76, 866.41 and 425.78

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Solution

The fourth proportional to 627.76, 866.41 and 425.78 is: 587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.76 : 866.41 = 425.78 : x
  2. Step 2: Convert to fraction form
    627.76/866.41 = 425.78/x
  3. Step 3: Cross multiply
    627.76x = 866.41 × 425.78
  4. Step 4: Simplify right side
    627.76x = 368,897.90
  5. Step 5: Solve for x
    x = 368,897.90/627.76
  6. Step 6: Final answer
    x = 587.65

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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.