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Finding the Fourth Proportional to 329.80, 494.30 and 295.40

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Solution

The fourth proportional to 329.80, 494.30 and 295.40 is: 442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.80 : 494.30 = 295.40 : x
  2. Step 2: Convert to fraction form
    329.80/494.30 = 295.40/x
  3. Step 3: Cross multiply
    329.80x = 494.30 × 295.40
  4. Step 4: Simplify right side
    329.80x = 146,016.22
  5. Step 5: Solve for x
    x = 146,016.22/329.80
  6. Step 6: Final answer
    x = 442.74

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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.