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Finding the Fourth Proportional to 690, 1,034.96 and 343.20

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Solution

The fourth proportional to 690, 1,034.96 and 343.20 is: 514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    690 : 1,034.96 = 343.20 : x
  2. Step 2: Convert to fraction form
    690/1,034.96 = 343.20/x
  3. Step 3: Cross multiply
    690x = 1,034.96 × 343.20
  4. Step 4: Simplify right side
    690x = 355,198.27
  5. Step 5: Solve for x
    x = 355,198.27/690
  6. Step 6: Final answer
    x = 514.78

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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.