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Finding the Fourth Proportional to 708.53, 977.60 and 413.63

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Solution

The fourth proportional to 708.53, 977.60 and 413.63 is: 570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.53 : 977.60 = 413.63 : x
  2. Step 2: Convert to fraction form
    708.53/977.60 = 413.63/x
  3. Step 3: Cross multiply
    708.53x = 977.60 × 413.63
  4. Step 4: Simplify right side
    708.53x = 404,357.73
  5. Step 5: Solve for x
    x = 404,357.73/708.53
  6. Step 6: Final answer
    x = 570.70

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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.