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Finding the Fourth Proportional to 892.96, 1,339.29 and 307.96

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Solution

The fourth proportional to 892.96, 1,339.29 and 307.96 is: 461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.96 : 1,339.29 = 307.96 : x
  2. Step 2: Convert to fraction form
    892.96/1,339.29 = 307.96/x
  3. Step 3: Cross multiply
    892.96x = 1,339.29 × 307.96
  4. Step 4: Simplify right side
    892.96x = 412,447.75
  5. Step 5: Solve for x
    x = 412,447.75/892.96
  6. Step 6: Final answer
    x = 461.89

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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.