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Finding the Fourth Proportional to 815.62, 1,223.44 and 267.80

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Solution

The fourth proportional to 815.62, 1,223.44 and 267.80 is: 401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.62 : 1,223.44 = 267.80 : x
  2. Step 2: Convert to fraction form
    815.62/1,223.44 = 267.80/x
  3. Step 3: Cross multiply
    815.62x = 1,223.44 × 267.80
  4. Step 4: Simplify right side
    815.62x = 327,637.23
  5. Step 5: Solve for x
    x = 327,637.23/815.62
  6. Step 6: Final answer
    x = 401.70

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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.