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Finding the Fourth Proportional to 330.68, 493.61 and 306.24

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Solution

The fourth proportional to 330.68, 493.61 and 306.24 is: 457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.68 : 493.61 = 306.24 : x
  2. Step 2: Convert to fraction form
    330.68/493.61 = 306.24/x
  3. Step 3: Cross multiply
    330.68x = 493.61 × 306.24
  4. Step 4: Simplify right side
    330.68x = 151,163.13
  5. Step 5: Solve for x
    x = 151,163.13/330.68
  6. Step 6: Final answer
    x = 457.13

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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.