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Finding the Fourth Proportional to 615.16, 922.74 and 411.04

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Solution

The fourth proportional to 615.16, 922.74 and 411.04 is: 616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.16 : 922.74 = 411.04 : x
  2. Step 2: Convert to fraction form
    615.16/922.74 = 411.04/x
  3. Step 3: Cross multiply
    615.16x = 922.74 × 411.04
  4. Step 4: Simplify right side
    615.16x = 379,283.05
  5. Step 5: Solve for x
    x = 379,283.05/615.16
  6. Step 6: Final answer
    x = 616.56

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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.