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Finding the Fourth Proportional to 461.67, 691.81 and 278.86

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Solution

The fourth proportional to 461.67, 691.81 and 278.86 is: 417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.67 : 691.81 = 278.86 : x
  2. Step 2: Convert to fraction form
    461.67/691.81 = 278.86/x
  3. Step 3: Cross multiply
    461.67x = 691.81 × 278.86
  4. Step 4: Simplify right side
    461.67x = 192,918.14
  5. Step 5: Solve for x
    x = 192,918.14/461.67
  6. Step 6: Final answer
    x = 417.87

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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.