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Finding the Fourth Proportional to 634.48, 876.36 and 459.52

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Solution

The fourth proportional to 634.48, 876.36 and 459.52 is: 634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.48 : 876.36 = 459.52 : x
  2. Step 2: Convert to fraction form
    634.48/876.36 = 459.52/x
  3. Step 3: Cross multiply
    634.48x = 876.36 × 459.52
  4. Step 4: Simplify right side
    634.48x = 402,704.95
  5. Step 5: Solve for x
    x = 402,704.95/634.48
  6. Step 6: Final answer
    x = 634.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.