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Finding the Fourth Proportional to 708.54, 977.79 and 413.75

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Solution

The fourth proportional to 708.54, 977.79 and 413.75 is: 570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.54 : 977.79 = 413.75 : x
  2. Step 2: Convert to fraction form
    708.54/977.79 = 413.75/x
  3. Step 3: Cross multiply
    708.54x = 977.79 × 413.75
  4. Step 4: Simplify right side
    708.54x = 404,562.28
  5. Step 5: Solve for x
    x = 404,562.28/708.54
  6. Step 6: Final answer
    x = 570.98

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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.