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Finding the Fourth Proportional to 264.24, 396.90 and 257.76

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Solution

The fourth proportional to 264.24, 396.90 and 257.76 is: 387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.24 : 396.90 = 257.76 : x
  2. Step 2: Convert to fraction form
    264.24/396.90 = 257.76/x
  3. Step 3: Cross multiply
    264.24x = 396.90 × 257.76
  4. Step 4: Simplify right side
    264.24x = 102,304.94
  5. Step 5: Solve for x
    x = 102,304.94/264.24
  6. Step 6: Final answer
    x = 387.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.