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Finding the Fourth Proportional to 635.40, 951.12 and 429.48

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Solution

The fourth proportional to 635.40, 951.12 and 429.48 is: 642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.40 : 951.12 = 429.48 : x
  2. Step 2: Convert to fraction form
    635.40/951.12 = 429.48/x
  3. Step 3: Cross multiply
    635.40x = 951.12 × 429.48
  4. Step 4: Simplify right side
    635.40x = 408,487.02
  5. Step 5: Solve for x
    x = 408,487.02/635.40
  6. Step 6: Final answer
    x = 642.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.