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Finding the Fourth Proportional to 627.76, 866.68 and 418.24

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Solution

The fourth proportional to 627.76, 866.68 and 418.24 is: 577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.76 : 866.68 = 418.24 : x
  2. Step 2: Convert to fraction form
    627.76/866.68 = 418.24/x
  3. Step 3: Cross multiply
    627.76x = 866.68 × 418.24
  4. Step 4: Simplify right side
    627.76x = 362,480.24
  5. Step 5: Solve for x
    x = 362,480.24/627.76
  6. Step 6: Final answer
    x = 577.42

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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.