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Finding the Fourth Proportional to 814.34, 1,221.27 and 266.57

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Solution

The fourth proportional to 814.34, 1,221.27 and 266.57 is: 399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.34 : 1,221.27 = 266.57 : x
  2. Step 2: Convert to fraction form
    814.34/1,221.27 = 266.57/x
  3. Step 3: Cross multiply
    814.34x = 1,221.27 × 266.57
  4. Step 4: Simplify right side
    814.34x = 325,547.84
  5. Step 5: Solve for x
    x = 325,547.84/814.34
  6. Step 6: Final answer
    x = 399.77

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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.