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Finding the Fourth Proportional to 615.28, 922.56 and 323.16

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Solution

The fourth proportional to 615.28, 922.56 and 323.16 is: 484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.28 : 922.56 = 323.16 : x
  2. Step 2: Convert to fraction form
    615.28/922.56 = 323.16/x
  3. Step 3: Cross multiply
    615.28x = 922.56 × 323.16
  4. Step 4: Simplify right side
    615.28x = 298,134.49
  5. Step 5: Solve for x
    x = 298,134.49/615.28
  6. Step 6: Final answer
    x = 484.55

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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.