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Finding the Fourth Proportional to 256.44, 382.84 and 247.44

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Solution

The fourth proportional to 256.44, 382.84 and 247.44 is: 369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.44 : 382.84 = 247.44 : x
  2. Step 2: Convert to fraction form
    256.44/382.84 = 247.44/x
  3. Step 3: Cross multiply
    256.44x = 382.84 × 247.44
  4. Step 4: Simplify right side
    256.44x = 94,729.93
  5. Step 5: Solve for x
    x = 94,729.93/256.44
  6. Step 6: Final answer
    x = 369.40

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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.