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Finding the Fourth Proportional to 258.96, 385.82 and 256.40

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Solution

The fourth proportional to 258.96, 385.82 and 256.40 is: 381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.96 : 385.82 = 256.40 : x
  2. Step 2: Convert to fraction form
    258.96/385.82 = 256.40/x
  3. Step 3: Cross multiply
    258.96x = 385.82 × 256.40
  4. Step 4: Simplify right side
    258.96x = 98,921.04
  5. Step 5: Solve for x
    x = 98,921.04/258.96
  6. Step 6: Final answer
    x = 381.99

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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.