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Finding the Fourth Proportional to 275.12, 378.79 and 256.49

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Solution

The fourth proportional to 275.12, 378.79 and 256.49 is: 353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.12 : 378.79 = 256.49 : x
  2. Step 2: Convert to fraction form
    275.12/378.79 = 256.49/x
  3. Step 3: Cross multiply
    275.12x = 378.79 × 256.49
  4. Step 4: Simplify right side
    275.12x = 97,154.73
  5. Step 5: Solve for x
    x = 97,154.73/275.12
  6. Step 6: Final answer
    x = 353.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.