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Finding the Fourth Proportional to 610.59, 842.49 and 414.30

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Solution

The fourth proportional to 610.59, 842.49 and 414.30 is: 571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.59 : 842.49 = 414.30 : x
  2. Step 2: Convert to fraction form
    610.59/842.49 = 414.30/x
  3. Step 3: Cross multiply
    610.59x = 842.49 × 414.30
  4. Step 4: Simplify right side
    610.59x = 349,043.61
  5. Step 5: Solve for x
    x = 349,043.61/610.59
  6. Step 6: Final answer
    x = 571.65

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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.