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Finding the Fourth Proportional to 322.14, 444.27 and 256.53

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Solution

The fourth proportional to 322.14, 444.27 and 256.53 is: 353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.14 : 444.27 = 256.53 : x
  2. Step 2: Convert to fraction form
    322.14/444.27 = 256.53/x
  3. Step 3: Cross multiply
    322.14x = 444.27 × 256.53
  4. Step 4: Simplify right side
    322.14x = 113,968.58
  5. Step 5: Solve for x
    x = 113,968.58/322.14
  6. Step 6: Final answer
    x = 353.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.