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Finding the Fourth Proportional to 461.76, 691.17 and 454.62

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Solution

The fourth proportional to 461.76, 691.17 and 454.62 is: 680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.76 : 691.17 = 454.62 : x
  2. Step 2: Convert to fraction form
    461.76/691.17 = 454.62/x
  3. Step 3: Cross multiply
    461.76x = 691.17 × 454.62
  4. Step 4: Simplify right side
    461.76x = 314,219.71
  5. Step 5: Solve for x
    x = 314,219.71/461.76
  6. Step 6: Final answer
    x = 680.48

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Why These Related Problems?

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