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Finding the Fourth Proportional to 461.68, 691.71 and 385.14

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Solution

The fourth proportional to 461.68, 691.71 and 385.14 is: 577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.68 : 691.71 = 385.14 : x
  2. Step 2: Convert to fraction form
    461.68/691.71 = 385.14/x
  3. Step 3: Cross multiply
    461.68x = 691.71 × 385.14
  4. Step 4: Simplify right side
    461.68x = 266,402.45
  5. Step 5: Solve for x
    x = 266,402.45/461.68
  6. Step 6: Final answer
    x = 577.02

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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.