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Finding the Fourth Proportional to 609.97, 842.14 and 400.52

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Solution

The fourth proportional to 609.97, 842.14 and 400.52 is: 552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.97 : 842.14 = 400.52 : x
  2. Step 2: Convert to fraction form
    609.97/842.14 = 400.52/x
  3. Step 3: Cross multiply
    609.97x = 842.14 × 400.52
  4. Step 4: Simplify right side
    609.97x = 337,292.12
  5. Step 5: Solve for x
    x = 337,292.12/609.97
  6. Step 6: Final answer
    x = 552.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.