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Finding the Fourth Proportional to 544.28, 815.68 and 235.76

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Solution

The fourth proportional to 544.28, 815.68 and 235.76 is: 353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.28 : 815.68 = 235.76 : x
  2. Step 2: Convert to fraction form
    544.28/815.68 = 235.76/x
  3. Step 3: Cross multiply
    544.28x = 815.68 × 235.76
  4. Step 4: Simplify right side
    544.28x = 192,304.72
  5. Step 5: Solve for x
    x = 192,304.72/544.28
  6. Step 6: Final answer
    x = 353.32

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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.