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Finding the Fourth Proportional to 708.16, 1,062.40 and 323.20

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Solution

The fourth proportional to 708.16, 1,062.40 and 323.20 is: 484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.16 : 1,062.40 = 323.20 : x
  2. Step 2: Convert to fraction form
    708.16/1,062.40 = 323.20/x
  3. Step 3: Cross multiply
    708.16x = 1,062.40 × 323.20
  4. Step 4: Simplify right side
    708.16x = 343,367.68
  5. Step 5: Solve for x
    x = 343,367.68/708.16
  6. Step 6: Final answer
    x = 484.87

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Why These Related Problems?

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