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Finding the Fourth Proportional to 256, 382.08 and 253.24

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Solution

The fourth proportional to 256, 382.08 and 253.24 is: 377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 382.08 = 253.24 : x
  2. Step 2: Convert to fraction form
    256/382.08 = 253.24/x
  3. Step 3: Cross multiply
    256x = 382.08 × 253.24
  4. Step 4: Simplify right side
    256x = 96,757.94
  5. Step 5: Solve for x
    x = 96,757.94/256
  6. Step 6: Final answer
    x = 377.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.