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Finding the Fourth Proportional to 689.64, 1,034.49 and 227.46

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Solution

The fourth proportional to 689.64, 1,034.49 and 227.46 is: 341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.64 : 1,034.49 = 227.46 : x
  2. Step 2: Convert to fraction form
    689.64/1,034.49 = 227.46/x
  3. Step 3: Cross multiply
    689.64x = 1,034.49 × 227.46
  4. Step 4: Simplify right side
    689.64x = 235,303.21
  5. Step 5: Solve for x
    x = 235,303.21/689.64
  6. Step 6: Final answer
    x = 341.20

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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.