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Finding the Fourth Proportional to 330.92, 494.22 and 300.68

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Solution

The fourth proportional to 330.92, 494.22 and 300.68 is: 449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.92 : 494.22 = 300.68 : x
  2. Step 2: Convert to fraction form
    330.92/494.22 = 300.68/x
  3. Step 3: Cross multiply
    330.92x = 494.22 × 300.68
  4. Step 4: Simplify right side
    330.92x = 148,602.07
  5. Step 5: Solve for x
    x = 148,602.07/330.92
  6. Step 6: Final answer
    x = 449.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.