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Finding the Fourth Proportional to 407.97, 610.91 and 270.59

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Solution

The fourth proportional to 407.97, 610.91 and 270.59 is: 405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.97 : 610.91 = 270.59 : x
  2. Step 2: Convert to fraction form
    407.97/610.91 = 270.59/x
  3. Step 3: Cross multiply
    407.97x = 610.91 × 270.59
  4. Step 4: Simplify right side
    407.97x = 165,305.04
  5. Step 5: Solve for x
    x = 165,305.04/407.97
  6. Step 6: Final answer
    x = 405.19

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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.