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Finding the Fourth Proportional to 615.28, 922.82 and 249.98

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Solution

The fourth proportional to 615.28, 922.82 and 249.98 is: 374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.28 : 922.82 = 249.98 : x
  2. Step 2: Convert to fraction form
    615.28/922.82 = 249.98/x
  3. Step 3: Cross multiply
    615.28x = 922.82 × 249.98
  4. Step 4: Simplify right side
    615.28x = 230,682.55
  5. Step 5: Solve for x
    x = 230,682.55/615.28
  6. Step 6: Final answer
    x = 374.92

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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.