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Finding the Fourth Proportional to 268.40, 399.08 and 257.46

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Solution

The fourth proportional to 268.40, 399.08 and 257.46 is: 382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.40 : 399.08 = 257.46 : x
  2. Step 2: Convert to fraction form
    268.40/399.08 = 257.46/x
  3. Step 3: Cross multiply
    268.40x = 399.08 × 257.46
  4. Step 4: Simplify right side
    268.40x = 102,747.78
  5. Step 5: Solve for x
    x = 102,747.78/268.40
  6. Step 6: Final answer
    x = 382.82

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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.