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Finding the Fourth Proportional to 406.87, 610.08 and 241.86

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Solution

The fourth proportional to 406.87, 610.08 and 241.86 is: 362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.87 : 610.08 = 241.86 : x
  2. Step 2: Convert to fraction form
    406.87/610.08 = 241.86/x
  3. Step 3: Cross multiply
    406.87x = 610.08 × 241.86
  4. Step 4: Simplify right side
    406.87x = 147,554.97
  5. Step 5: Solve for x
    x = 147,554.97/406.87
  6. Step 6: Final answer
    x = 362.66

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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.