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Finding the Fourth Proportional to 627.42, 865.56 and 406.45

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Solution

The fourth proportional to 627.42, 865.56 and 406.45 is: 560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.42 : 865.56 = 406.45 : x
  2. Step 2: Convert to fraction form
    627.42/865.56 = 406.45/x
  3. Step 3: Cross multiply
    627.42x = 865.56 × 406.45
  4. Step 4: Simplify right side
    627.42x = 351,806.86
  5. Step 5: Solve for x
    x = 351,806.86/627.42
  6. Step 6: Final answer
    x = 560.72

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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.