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Finding the Fourth Proportional to 814.05, 1,221.28 and 351.59

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Solution

The fourth proportional to 814.05, 1,221.28 and 351.59 is: 527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.05 : 1,221.28 = 351.59 : x
  2. Step 2: Convert to fraction form
    814.05/1,221.28 = 351.59/x
  3. Step 3: Cross multiply
    814.05x = 1,221.28 × 351.59
  4. Step 4: Simplify right side
    814.05x = 429,389.72
  5. Step 5: Solve for x
    x = 429,389.72/814.05
  6. Step 6: Final answer
    x = 527.47

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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.