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Finding the Fourth Proportional to 322.16, 444.36 and 255.68

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Solution

The fourth proportional to 322.16, 444.36 and 255.68 is: 352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.16 : 444.36 = 255.68 : x
  2. Step 2: Convert to fraction form
    322.16/444.36 = 255.68/x
  3. Step 3: Cross multiply
    322.16x = 444.36 × 255.68
  4. Step 4: Simplify right side
    322.16x = 113,613.96
  5. Step 5: Solve for x
    x = 113,613.96/322.16
  6. Step 6: Final answer
    x = 352.66

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