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Finding the Fourth Proportional to 708.04, 1,062.22 and 275.32

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Solution

The fourth proportional to 708.04, 1,062.22 and 275.32 is: 413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.04 : 1,062.22 = 275.32 : x
  2. Step 2: Convert to fraction form
    708.04/1,062.22 = 275.32/x
  3. Step 3: Cross multiply
    708.04x = 1,062.22 × 275.32
  4. Step 4: Simplify right side
    708.04x = 292,450.41
  5. Step 5: Solve for x
    x = 292,450.41/708.04
  6. Step 6: Final answer
    x = 413.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.