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Finding the Fourth Proportional to 322.41, 480.48 and 308.64

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Solution

The fourth proportional to 322.41, 480.48 and 308.64 is: 459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.41 : 480.48 = 308.64 : x
  2. Step 2: Convert to fraction form
    322.41/480.48 = 308.64/x
  3. Step 3: Cross multiply
    322.41x = 480.48 × 308.64
  4. Step 4: Simplify right side
    322.41x = 148,295.35
  5. Step 5: Solve for x
    x = 148,295.35/322.41
  6. Step 6: Final answer
    x = 459.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.