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Finding the Fourth Proportional to 610.97, 842.96 and 414.68

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Solution

The fourth proportional to 610.97, 842.96 and 414.68 is: 572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.97 : 842.96 = 414.68 : x
  2. Step 2: Convert to fraction form
    610.97/842.96 = 414.68/x
  3. Step 3: Cross multiply
    610.97x = 842.96 × 414.68
  4. Step 4: Simplify right side
    610.97x = 349,556.58
  5. Step 5: Solve for x
    x = 349,556.58/610.97
  6. Step 6: Final answer
    x = 572.13

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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.