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Finding the Fourth Proportional to 461.17, 635.96 and 391.42

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Solution

The fourth proportional to 461.17, 635.96 and 391.42 is: 539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.17 : 635.96 = 391.42 : x
  2. Step 2: Convert to fraction form
    461.17/635.96 = 391.42/x
  3. Step 3: Cross multiply
    461.17x = 635.96 × 391.42
  4. Step 4: Simplify right side
    461.17x = 248,922.33
  5. Step 5: Solve for x
    x = 248,922.33/461.17
  6. Step 6: Final answer
    x = 539.77

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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.