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Finding the Fourth Proportional to 406.78, 610.17 and 98.63

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Solution

The fourth proportional to 406.78, 610.17 and 98.63 is: 147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.78 : 610.17 = 98.63 : x
  2. Step 2: Convert to fraction form
    406.78/610.17 = 98.63/x
  3. Step 3: Cross multiply
    406.78x = 610.17 × 98.63
  4. Step 4: Simplify right side
    406.78x = 60,182.39
  5. Step 5: Solve for x
    x = 60,182.39/406.78
  6. Step 6: Final answer
    x = 147.95

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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.