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Finding the Fourth Proportional to 814.10, 1,221.08 and 351.86

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Solution

The fourth proportional to 814.10, 1,221.08 and 351.86 is: 527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.10 : 1,221.08 = 351.86 : x
  2. Step 2: Convert to fraction form
    814.10/1,221.08 = 351.86/x
  3. Step 3: Cross multiply
    814.10x = 1,221.08 × 351.86
  4. Step 4: Simplify right side
    814.10x = 429,641.34
  5. Step 5: Solve for x
    x = 429,641.34/814.10
  6. Step 6: Final answer
    x = 527.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.