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Finding the Fourth Proportional to 627.55, 865.96 and 362.04

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Solution

The fourth proportional to 627.55, 865.96 and 362.04 is: 499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.55 : 865.96 = 362.04 : x
  2. Step 2: Convert to fraction form
    627.55/865.96 = 362.04/x
  3. Step 3: Cross multiply
    627.55x = 865.96 × 362.04
  4. Step 4: Simplify right side
    627.55x = 313,508.01
  5. Step 5: Solve for x
    x = 313,508.01/627.55
  6. Step 6: Final answer
    x = 499.58

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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.