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Finding the Fourth Proportional to 814.20, 1,221.45 and 266.24

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Solution

The fourth proportional to 814.20, 1,221.45 and 266.24 is: 399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.20 : 1,221.45 = 266.24 : x
  2. Step 2: Convert to fraction form
    814.20/1,221.45 = 266.24/x
  3. Step 3: Cross multiply
    814.20x = 1,221.45 × 266.24
  4. Step 4: Simplify right side
    814.20x = 325,192.74
  5. Step 5: Solve for x
    x = 325,192.74/814.20
  6. Step 6: Final answer
    x = 399.40

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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.