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Finding the Fourth Proportional to 634.56, 951.98 and 305.61

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Solution

The fourth proportional to 634.56, 951.98 and 305.61 is: 458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.56 : 951.98 = 305.61 : x
  2. Step 2: Convert to fraction form
    634.56/951.98 = 305.61/x
  3. Step 3: Cross multiply
    634.56x = 951.98 × 305.61
  4. Step 4: Simplify right side
    634.56x = 290,934.61
  5. Step 5: Solve for x
    x = 290,934.61/634.56
  6. Step 6: Final answer
    x = 458.48

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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.