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Finding the Fourth Proportional to 610.38, 842.13 and 413.82

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Solution

The fourth proportional to 610.38, 842.13 and 413.82 is: 570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.38 : 842.13 = 413.82 : x
  2. Step 2: Convert to fraction form
    610.38/842.13 = 413.82/x
  3. Step 3: Cross multiply
    610.38x = 842.13 × 413.82
  4. Step 4: Simplify right side
    610.38x = 348,490.24
  5. Step 5: Solve for x
    x = 348,490.24/610.38
  6. Step 6: Final answer
    x = 570.94

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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.