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Finding the Fourth Proportional to 322.79, 443.61 and 285.71

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Solution

The fourth proportional to 322.79, 443.61 and 285.71 is: 392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.79 : 443.61 = 285.71 : x
  2. Step 2: Convert to fraction form
    322.79/443.61 = 285.71/x
  3. Step 3: Cross multiply
    322.79x = 443.61 × 285.71
  4. Step 4: Simplify right side
    322.79x = 126,741.60
  5. Step 5: Solve for x
    x = 126,741.60/322.79
  6. Step 6: Final answer
    x = 392.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.