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Finding the Fourth Proportional to 330.40, 494.34 and 249.40

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Solution

The fourth proportional to 330.40, 494.34 and 249.40 is: 373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.40 : 494.34 = 249.40 : x
  2. Step 2: Convert to fraction form
    330.40/494.34 = 249.40/x
  3. Step 3: Cross multiply
    330.40x = 494.34 × 249.40
  4. Step 4: Simplify right side
    330.40x = 123,288.40
  5. Step 5: Solve for x
    x = 123,288.40/330.40
  6. Step 6: Final answer
    x = 373.15

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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.