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Finding the Fourth Proportional to 330.24, 492 and 321.60

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Solution

The fourth proportional to 330.24, 492 and 321.60 is: 479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.24 : 492 = 321.60 : x
  2. Step 2: Convert to fraction form
    330.24/492 = 321.60/x
  3. Step 3: Cross multiply
    330.24x = 492 × 321.60
  4. Step 4: Simplify right side
    330.24x = 158,227.20
  5. Step 5: Solve for x
    x = 158,227.20/330.24
  6. Step 6: Final answer
    x = 479.13

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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.