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Finding the Fourth Proportional to 256.44, 383 and 215.88

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Solution

The fourth proportional to 256.44, 383 and 215.88 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.44 : 383 = 215.88 : x
  2. Step 2: Convert to fraction form
    256.44/383 = 215.88/x
  3. Step 3: Cross multiply
    256.44x = 383 × 215.88
  4. Step 4: Simplify right side
    256.44x = 82,682.04
  5. Step 5: Solve for x
    x = 82,682.04/256.44
  6. Step 6: Final answer
    x = 322.42

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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.