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Finding the Fourth Proportional to 544.14, 815.94 and 255.60

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Solution

The fourth proportional to 544.14, 815.94 and 255.60 is: 383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.14 : 815.94 = 255.60 : x
  2. Step 2: Convert to fraction form
    544.14/815.94 = 255.60/x
  3. Step 3: Cross multiply
    544.14x = 815.94 × 255.60
  4. Step 4: Simplify right side
    544.14x = 208,554.26
  5. Step 5: Solve for x
    x = 208,554.26/544.14
  6. Step 6: Final answer
    x = 383.27

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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.