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Finding the Fourth Proportional to 627.93, 866.28 and 431.10

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Solution

The fourth proportional to 627.93, 866.28 and 431.10 is: 594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.93 : 866.28 = 431.10 : x
  2. Step 2: Convert to fraction form
    627.93/866.28 = 431.10/x
  3. Step 3: Cross multiply
    627.93x = 866.28 × 431.10
  4. Step 4: Simplify right side
    627.93x = 373,453.31
  5. Step 5: Solve for x
    x = 373,453.31/627.93
  6. Step 6: Final answer
    x = 594.74

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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.