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Finding the Fourth Proportional to 708.58, 977.82 and 413.90

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Solution

The fourth proportional to 708.58, 977.82 and 413.90 is: 571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.58 : 977.82 = 413.90 : x
  2. Step 2: Convert to fraction form
    708.58/977.82 = 413.90/x
  3. Step 3: Cross multiply
    708.58x = 977.82 × 413.90
  4. Step 4: Simplify right side
    708.58x = 404,719.70
  5. Step 5: Solve for x
    x = 404,719.70/708.58
  6. Step 6: Final answer
    x = 571.17

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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.