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Finding the Fourth Proportional to 814.16, 1,221.24 and 294.23

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Solution

The fourth proportional to 814.16, 1,221.24 and 294.23 is: 441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.16 : 1,221.24 = 294.23 : x
  2. Step 2: Convert to fraction form
    814.16/1,221.24 = 294.23/x
  3. Step 3: Cross multiply
    814.16x = 1,221.24 × 294.23
  4. Step 4: Simplify right side
    814.16x = 359,325.45
  5. Step 5: Solve for x
    x = 359,325.45/814.16
  6. Step 6: Final answer
    x = 441.35

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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.