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Finding the Fourth Proportional to 330.30, 494.97 and 276.06

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Solution

The fourth proportional to 330.30, 494.97 and 276.06 is: 413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.30 : 494.97 = 276.06 : x
  2. Step 2: Convert to fraction form
    330.30/494.97 = 276.06/x
  3. Step 3: Cross multiply
    330.30x = 494.97 × 276.06
  4. Step 4: Simplify right side
    330.30x = 136,641.42
  5. Step 5: Solve for x
    x = 136,641.42/330.30
  6. Step 6: Final answer
    x = 413.69

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Why These Related Problems?

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