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Finding the Fourth Proportional to 708, 977.16 and 413.49

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Solution

The fourth proportional to 708, 977.16 and 413.49 is: 570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    708 : 977.16 = 413.49 : x
  2. Step 2: Convert to fraction form
    708/977.16 = 413.49/x
  3. Step 3: Cross multiply
    708x = 977.16 × 413.49
  4. Step 4: Simplify right side
    708x = 404,045.89
  5. Step 5: Solve for x
    x = 404,045.89/708
  6. Step 6: Final answer
    x = 570.69

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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.