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Finding the Fourth Proportional to 262.32, 391.49 and 256.17

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Solution

The fourth proportional to 262.32, 391.49 and 256.17 is: 382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.32 : 391.49 = 256.17 : x
  2. Step 2: Convert to fraction form
    262.32/391.49 = 256.17/x
  3. Step 3: Cross multiply
    262.32x = 391.49 × 256.17
  4. Step 4: Simplify right side
    262.32x = 100,289.14
  5. Step 5: Solve for x
    x = 100,289.14/262.32
  6. Step 6: Final answer
    x = 382.32

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Why These Related Problems?

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