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Finding the Fourth Proportional to 708.06, 977.14 and 413.40

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Solution

The fourth proportional to 708.06, 977.14 and 413.40 is: 570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.06 : 977.14 = 413.40 : x
  2. Step 2: Convert to fraction form
    708.06/977.14 = 413.40/x
  3. Step 3: Cross multiply
    708.06x = 977.14 × 413.40
  4. Step 4: Simplify right side
    708.06x = 403,949.68
  5. Step 5: Solve for x
    x = 403,949.68/708.06
  6. Step 6: Final answer
    x = 570.50

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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.