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Finding the Fourth Proportional to 892.46, 1,338.51 and 307.43

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Solution

The fourth proportional to 892.46, 1,338.51 and 307.43 is: 461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.46 : 1,338.51 = 307.43 : x
  2. Step 2: Convert to fraction form
    892.46/1,338.51 = 307.43/x
  3. Step 3: Cross multiply
    892.46x = 1,338.51 × 307.43
  4. Step 4: Simplify right side
    892.46x = 411,498.13
  5. Step 5: Solve for x
    x = 411,498.13/892.46
  6. Step 6: Final answer
    x = 461.09

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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.