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Finding the Fourth Proportional to 708.25, 1,062.84 and 292.12

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Solution

The fourth proportional to 708.25, 1,062.84 and 292.12 is: 438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.25 : 1,062.84 = 292.12 : x
  2. Step 2: Convert to fraction form
    708.25/1,062.84 = 292.12/x
  3. Step 3: Cross multiply
    708.25x = 1,062.84 × 292.12
  4. Step 4: Simplify right side
    708.25x = 310,476.82
  5. Step 5: Solve for x
    x = 310,476.82/708.25
  6. Step 6: Final answer
    x = 438.37

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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.