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Finding the Fourth Proportional to 708.45, 977.60 and 413.65

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Solution

The fourth proportional to 708.45, 977.60 and 413.65 is: 570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.45 : 977.60 = 413.65 : x
  2. Step 2: Convert to fraction form
    708.45/977.60 = 413.65/x
  3. Step 3: Cross multiply
    708.45x = 977.60 × 413.65
  4. Step 4: Simplify right side
    708.45x = 404,386.50
  5. Step 5: Solve for x
    x = 404,386.50/708.45
  6. Step 6: Final answer
    x = 570.81

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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.