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Finding the Fourth Proportional to 927.47, 1,391.45 and 311.24

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Solution

The fourth proportional to 927.47, 1,391.45 and 311.24 is: 466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.47 : 1,391.45 = 311.24 : x
  2. Step 2: Convert to fraction form
    927.47/1,391.45 = 311.24/x
  3. Step 3: Cross multiply
    927.47x = 1,391.45 × 311.24
  4. Step 4: Simplify right side
    927.47x = 433,066.38
  5. Step 5: Solve for x
    x = 433,066.38/927.47
  6. Step 6: Final answer
    x = 466.94

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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.