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Finding the Fourth Proportional to 466, 698.80 and 141.29

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Solution

The fourth proportional to 466, 698.80 and 141.29 is: 211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466 : 698.80 = 141.29 : x
  2. Step 2: Convert to fraction form
    466/698.80 = 141.29/x
  3. Step 3: Cross multiply
    466x = 698.80 × 141.29
  4. Step 4: Simplify right side
    466x = 98,732.75
  5. Step 5: Solve for x
    x = 98,732.75/466
  6. Step 6: Final answer
    x = 211.87

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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.