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Finding the Fourth Proportional to 708.16, 977.20 and 413.39

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Solution

The fourth proportional to 708.16, 977.20 and 413.39 is: 570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.16 : 977.20 = 413.39 : x
  2. Step 2: Convert to fraction form
    708.16/977.20 = 413.39/x
  3. Step 3: Cross multiply
    708.16x = 977.20 × 413.39
  4. Step 4: Simplify right side
    708.16x = 403,964.71
  5. Step 5: Solve for x
    x = 403,964.71/708.16
  6. Step 6: Final answer
    x = 570.44

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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.