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Finding the Fourth Proportional to 708.18, 1,062.52 and 343.20

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Solution

The fourth proportional to 708.18, 1,062.52 and 343.20 is: 514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.18 : 1,062.52 = 343.20 : x
  2. Step 2: Convert to fraction form
    708.18/1,062.52 = 343.20/x
  3. Step 3: Cross multiply
    708.18x = 1,062.52 × 343.20
  4. Step 4: Simplify right side
    708.18x = 364,659.99
  5. Step 5: Solve for x
    x = 364,659.99/708.18
  6. Step 6: Final answer
    x = 514.93

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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.