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Finding the Fourth Proportional to 814.88, 1,221.56 and 301.76

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Solution

The fourth proportional to 814.88, 1,221.56 and 301.76 is: 452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.88 : 1,221.56 = 301.76 : x
  2. Step 2: Convert to fraction form
    814.88/1,221.56 = 301.76/x
  3. Step 3: Cross multiply
    814.88x = 1,221.56 × 301.76
  4. Step 4: Simplify right side
    814.88x = 368,617.95
  5. Step 5: Solve for x
    x = 368,617.95/814.88
  6. Step 6: Final answer
    x = 452.36

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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.