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Finding the Fourth Proportional to 690.20, 1,034.81 and 279.21

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Solution

The fourth proportional to 690.20, 1,034.81 and 279.21 is: 418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.20 : 1,034.81 = 279.21 : x
  2. Step 2: Convert to fraction form
    690.20/1,034.81 = 279.21/x
  3. Step 3: Cross multiply
    690.20x = 1,034.81 × 279.21
  4. Step 4: Simplify right side
    690.20x = 288,927.90
  5. Step 5: Solve for x
    x = 288,927.90/690.20
  6. Step 6: Final answer
    x = 418.62

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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.