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Finding the Fourth Proportional to 461.17, 691.06 and 278.36

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Solution

The fourth proportional to 461.17, 691.06 and 278.36 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.17 : 691.06 = 278.36 : x
  2. Step 2: Convert to fraction form
    461.17/691.06 = 278.36/x
  3. Step 3: Cross multiply
    461.17x = 691.06 × 278.36
  4. Step 4: Simplify right side
    461.17x = 192,363.46
  5. Step 5: Solve for x
    x = 192,363.46/461.17
  6. Step 6: Final answer
    x = 417.12

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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.