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Finding the Fourth Proportional to 410.28, 615.56 and 252.15

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Solution

The fourth proportional to 410.28, 615.56 and 252.15 is: 378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.28 : 615.56 = 252.15 : x
  2. Step 2: Convert to fraction form
    410.28/615.56 = 252.15/x
  3. Step 3: Cross multiply
    410.28x = 615.56 × 252.15
  4. Step 4: Simplify right side
    410.28x = 155,214.25
  5. Step 5: Solve for x
    x = 155,214.25/410.28
  6. Step 6: Final answer
    x = 378.32

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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.