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Finding the Fourth Proportional to 610.70, 842.28 and 413.96

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Solution

The fourth proportional to 610.70, 842.28 and 413.96 is: 570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.70 : 842.28 = 413.96 : x
  2. Step 2: Convert to fraction form
    610.70/842.28 = 413.96/x
  3. Step 3: Cross multiply
    610.70x = 842.28 × 413.96
  4. Step 4: Simplify right side
    610.70x = 348,670.23
  5. Step 5: Solve for x
    x = 348,670.23/610.70
  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.