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Finding the Fourth Proportional to 610.86, 842.85 and 414.48

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Solution

The fourth proportional to 610.86, 842.85 and 414.48 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.86 : 842.85 = 414.48 : x
  2. Step 2: Convert to fraction form
    610.86/842.85 = 414.48/x
  3. Step 3: Cross multiply
    610.86x = 842.85 × 414.48
  4. Step 4: Simplify right side
    610.86x = 349,344.47
  5. Step 5: Solve for x
    x = 349,344.47/610.86
  6. Step 6: Final answer
    x = 571.89

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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.