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Finding the Fourth Proportional to 544.47, 815.57 and 407.33

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Solution

The fourth proportional to 544.47, 815.57 and 407.33 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.47 : 815.57 = 407.33 : x
  2. Step 2: Convert to fraction form
    544.47/815.57 = 407.33/x
  3. Step 3: Cross multiply
    544.47x = 815.57 × 407.33
  4. Step 4: Simplify right side
    544.47x = 332,204.60
  5. Step 5: Solve for x
    x = 332,204.60/544.47
  6. Step 6: Final answer
    x = 610.14

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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.