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Finding the Fourth Proportional to 615.88, 923.82 and 274.12

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Solution

The fourth proportional to 615.88, 923.82 and 274.12 is: 411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.88 : 923.82 = 274.12 : x
  2. Step 2: Convert to fraction form
    615.88/923.82 = 274.12/x
  3. Step 3: Cross multiply
    615.88x = 923.82 × 274.12
  4. Step 4: Simplify right side
    615.88x = 253,237.54
  5. Step 5: Solve for x
    x = 253,237.54/615.88
  6. Step 6: Final answer
    x = 411.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.