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Finding the Fourth Proportional to 814.10, 1,220.31 and 352.18

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Solution

The fourth proportional to 814.10, 1,220.31 and 352.18 is: 527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.10 : 1,220.31 = 352.18 : x
  2. Step 2: Convert to fraction form
    814.10/1,220.31 = 352.18/x
  3. Step 3: Cross multiply
    814.10x = 1,220.31 × 352.18
  4. Step 4: Simplify right side
    814.10x = 429,768.78
  5. Step 5: Solve for x
    x = 429,768.78/814.10
  6. Step 6: Final answer
    x = 527.91

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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.