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Finding the Fourth Proportional to 322.20, 444.60 and 256.68

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Solution

The fourth proportional to 322.20, 444.60 and 256.68 is: 354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.20 : 444.60 = 256.68 : x
  2. Step 2: Convert to fraction form
    322.20/444.60 = 256.68/x
  3. Step 3: Cross multiply
    322.20x = 444.60 × 256.68
  4. Step 4: Simplify right side
    322.20x = 114,119.93
  5. Step 5: Solve for x
    x = 114,119.93/322.20
  6. Step 6: Final answer
    x = 354.19

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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.