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Finding the Fourth Proportional to 721.40, 1,082.25 and 310.56

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Solution

The fourth proportional to 721.40, 1,082.25 and 310.56 is: 465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.40 : 1,082.25 = 310.56 : x
  2. Step 2: Convert to fraction form
    721.40/1,082.25 = 310.56/x
  3. Step 3: Cross multiply
    721.40x = 1,082.25 × 310.56
  4. Step 4: Simplify right side
    721.40x = 336,103.56
  5. Step 5: Solve for x
    x = 336,103.56/721.40
  6. Step 6: Final answer
    x = 465.91

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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.