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Finding the Fourth Proportional to 474.74, 708.70 and 413.22

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Solution

The fourth proportional to 474.74, 708.70 and 413.22 is: 616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.74 : 708.70 = 413.22 : x
  2. Step 2: Convert to fraction form
    474.74/708.70 = 413.22/x
  3. Step 3: Cross multiply
    474.74x = 708.70 × 413.22
  4. Step 4: Simplify right side
    474.74x = 292,849.01
  5. Step 5: Solve for x
    x = 292,849.01/474.74
  6. Step 6: Final answer
    x = 616.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.