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Finding the Fourth Proportional to 544.12, 815.41 and 269.92

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Solution

The fourth proportional to 544.12, 815.41 and 269.92 is: 404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.12 : 815.41 = 269.92 : x
  2. Step 2: Convert to fraction form
    544.12/815.41 = 269.92/x
  3. Step 3: Cross multiply
    544.12x = 815.41 × 269.92
  4. Step 4: Simplify right side
    544.12x = 220,095.47
  5. Step 5: Solve for x
    x = 220,095.47/544.12
  6. Step 6: Final answer
    x = 404.50

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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.