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Finding the Fourth Proportional to 815.42, 1,223.24 and 267.46

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Solution

The fourth proportional to 815.42, 1,223.24 and 267.46 is: 401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.42 : 1,223.24 = 267.46 : x
  2. Step 2: Convert to fraction form
    815.42/1,223.24 = 267.46/x
  3. Step 3: Cross multiply
    815.42x = 1,223.24 × 267.46
  4. Step 4: Simplify right side
    815.42x = 327,167.77
  5. Step 5: Solve for x
    x = 327,167.77/815.42
  6. Step 6: Final answer
    x = 401.23

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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.