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Finding the Fourth Proportional to 409.56, 615.20 and 255.68

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Solution

The fourth proportional to 409.56, 615.20 and 255.68 is: 384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.56 : 615.20 = 255.68 : x
  2. Step 2: Convert to fraction form
    409.56/615.20 = 255.68/x
  3. Step 3: Cross multiply
    409.56x = 615.20 × 255.68
  4. Step 4: Simplify right side
    409.56x = 157,294.34
  5. Step 5: Solve for x
    x = 157,294.34/409.56
  6. Step 6: Final answer
    x = 384.06

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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.