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Finding the Fourth Proportional to 882.85, 1,324.01 and 305.59

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Solution

The fourth proportional to 882.85, 1,324.01 and 305.59 is: 458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.85 : 1,324.01 = 305.59 : x
  2. Step 2: Convert to fraction form
    882.85/1,324.01 = 305.59/x
  3. Step 3: Cross multiply
    882.85x = 1,324.01 × 305.59
  4. Step 4: Simplify right side
    882.85x = 404,604.22
  5. Step 5: Solve for x
    x = 404,604.22/882.85
  6. Step 6: Final answer
    x = 458.29

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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.