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Finding the Fourth Proportional to 882.64, 1,324.20 and 305.56

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Solution

The fourth proportional to 882.64, 1,324.20 and 305.56 is: 458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.64 : 1,324.20 = 305.56 : x
  2. Step 2: Convert to fraction form
    882.64/1,324.20 = 305.56/x
  3. Step 3: Cross multiply
    882.64x = 1,324.20 × 305.56
  4. Step 4: Simplify right side
    882.64x = 404,622.55
  5. Step 5: Solve for x
    x = 404,622.55/882.64
  6. Step 6: Final answer
    x = 458.42

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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.