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Finding the Fourth Proportional to 321.33, 478.92 and 318.78

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Solution

The fourth proportional to 321.33, 478.92 and 318.78 is: 475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.33 : 478.92 = 318.78 : x
  2. Step 2: Convert to fraction form
    321.33/478.92 = 318.78/x
  3. Step 3: Cross multiply
    321.33x = 478.92 × 318.78
  4. Step 4: Simplify right side
    321.33x = 152,670.12
  5. Step 5: Solve for x
    x = 152,670.12/321.33
  6. Step 6: Final answer
    x = 475.12

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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.