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Finding the Fourth Proportional to 927.65, 1,391.49 and 311.36

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Solution

The fourth proportional to 927.65, 1,391.49 and 311.36 is: 467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.65 : 1,391.49 = 311.36 : x
  2. Step 2: Convert to fraction form
    927.65/1,391.49 = 311.36/x
  3. Step 3: Cross multiply
    927.65x = 1,391.49 × 311.36
  4. Step 4: Simplify right side
    927.65x = 433,245.81
  5. Step 5: Solve for x
    x = 433,245.81/927.65
  6. Step 6: Final answer
    x = 467.04

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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.