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Finding the Fourth Proportional to 635.64, 951.84 and 418.56

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Solution

The fourth proportional to 635.64, 951.84 and 418.56 is: 626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.64 : 951.84 = 418.56 : x
  2. Step 2: Convert to fraction form
    635.64/951.84 = 418.56/x
  3. Step 3: Cross multiply
    635.64x = 951.84 × 418.56
  4. Step 4: Simplify right side
    635.64x = 398,402.15
  5. Step 5: Solve for x
    x = 398,402.15/635.64
  6. Step 6: Final answer
    x = 626.77

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