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Finding the Fourth Proportional to 690.04, 1,034.83 and 227.70

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Solution

The fourth proportional to 690.04, 1,034.83 and 227.70 is: 341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.04 : 1,034.83 = 227.70 : x
  2. Step 2: Convert to fraction form
    690.04/1,034.83 = 227.70/x
  3. Step 3: Cross multiply
    690.04x = 1,034.83 × 227.70
  4. Step 4: Simplify right side
    690.04x = 235,629.65
  5. Step 5: Solve for x
    x = 235,629.65/690.04
  6. Step 6: Final answer
    x = 341.47

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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.