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Finding the Fourth Proportional to 708.06, 977.12 and 413.22

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Solution

The fourth proportional to 708.06, 977.12 and 413.22 is: 570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.06 : 977.12 = 413.22 : x
  2. Step 2: Convert to fraction form
    708.06/977.12 = 413.22/x
  3. Step 3: Cross multiply
    708.06x = 977.12 × 413.22
  4. Step 4: Simplify right side
    708.06x = 403,765.53
  5. Step 5: Solve for x
    x = 403,765.53/708.06
  6. Step 6: Final answer
    x = 570.24

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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.