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Finding the Fourth Proportional to 410.99, 617.90 and 330.39

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Solution

The fourth proportional to 410.99, 617.90 and 330.39 is: 496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.99 : 617.90 = 330.39 : x
  2. Step 2: Convert to fraction form
    410.99/617.90 = 330.39/x
  3. Step 3: Cross multiply
    410.99x = 617.90 × 330.39
  4. Step 4: Simplify right side
    410.99x = 204,146.33
  5. Step 5: Solve for x
    x = 204,146.33/410.99
  6. Step 6: Final answer
    x = 496.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.