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Finding the Fourth Proportional to 544.27, 815.62 and 407.22

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Solution

The fourth proportional to 544.27, 815.62 and 407.22 is: 610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.27 : 815.62 = 407.22 : x
  2. Step 2: Convert to fraction form
    544.27/815.62 = 407.22/x
  3. Step 3: Cross multiply
    544.27x = 815.62 × 407.22
  4. Step 4: Simplify right side
    544.27x = 332,136.78
  5. Step 5: Solve for x
    x = 332,136.78/544.27
  6. Step 6: Final answer
    x = 610.24

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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.