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Finding the Fourth Proportional to 708.64, 978.05 and 413.96

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Solution

The fourth proportional to 708.64, 978.05 and 413.96 is: 571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.64 : 978.05 = 413.96 : x
  2. Step 2: Convert to fraction form
    708.64/978.05 = 413.96/x
  3. Step 3: Cross multiply
    708.64x = 978.05 × 413.96
  4. Step 4: Simplify right side
    708.64x = 404,869.72
  5. Step 5: Solve for x
    x = 404,869.72/708.64
  6. Step 6: Final answer
    x = 571.34

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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.