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Finding the Fourth Proportional to 610.19, 842.76 and 413.36

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Solution

The fourth proportional to 610.19, 842.76 and 413.36 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.19 : 842.76 = 413.36 : x
  2. Step 2: Convert to fraction form
    610.19/842.76 = 413.36/x
  3. Step 3: Cross multiply
    610.19x = 842.76 × 413.36
  4. Step 4: Simplify right side
    610.19x = 348,365.38
  5. Step 5: Solve for x
    x = 348,365.38/610.19
  6. Step 6: Final answer
    x = 570.91

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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.