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Finding the Fourth Proportional to 635.12, 951.60 and 442.88

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Solution

The fourth proportional to 635.12, 951.60 and 442.88 is: 663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.12 : 951.60 = 442.88 : x
  2. Step 2: Convert to fraction form
    635.12/951.60 = 442.88/x
  3. Step 3: Cross multiply
    635.12x = 951.60 × 442.88
  4. Step 4: Simplify right side
    635.12x = 421,444.61
  5. Step 5: Solve for x
    x = 421,444.61/635.12
  6. Step 6: Final answer
    x = 663.57

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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.