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Finding the Fourth Proportional to 708.24, 977.28 and 413.46

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Solution

The fourth proportional to 708.24, 977.28 and 413.46 is: 570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.24 : 977.28 = 413.46 : x
  2. Step 2: Convert to fraction form
    708.24/977.28 = 413.46/x
  3. Step 3: Cross multiply
    708.24x = 977.28 × 413.46
  4. Step 4: Simplify right side
    708.24x = 404,066.19
  5. Step 5: Solve for x
    x = 404,066.19/708.24
  6. Step 6: Final answer
    x = 570.52

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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.