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Finding the Fourth Proportional to 627.18, 864.96 and 495.96

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Solution

The fourth proportional to 627.18, 864.96 and 495.96 is: 683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.18 : 864.96 = 495.96 : x
  2. Step 2: Convert to fraction form
    627.18/864.96 = 495.96/x
  3. Step 3: Cross multiply
    627.18x = 864.96 × 495.96
  4. Step 4: Simplify right side
    627.18x = 428,985.56
  5. Step 5: Solve for x
    x = 428,985.56/627.18
  6. Step 6: Final answer
    x = 683.99

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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.