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Finding the Fourth Proportional to 406.98, 610.86 and 224.46

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Solution

The fourth proportional to 406.98, 610.86 and 224.46 is: 336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.98 : 610.86 = 224.46 : x
  2. Step 2: Convert to fraction form
    406.98/610.86 = 224.46/x
  3. Step 3: Cross multiply
    406.98x = 610.86 × 224.46
  4. Step 4: Simplify right side
    406.98x = 137,113.64
  5. Step 5: Solve for x
    x = 137,113.64/406.98
  6. Step 6: Final answer
    x = 336.91

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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.