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Finding the Fourth Proportional to 329.35, 494.30 and 183.24

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Solution

The fourth proportional to 329.35, 494.30 and 183.24 is: 275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.35 : 494.30 = 183.24 : x
  2. Step 2: Convert to fraction form
    329.35/494.30 = 183.24/x
  3. Step 3: Cross multiply
    329.35x = 494.30 × 183.24
  4. Step 4: Simplify right side
    329.35x = 90,575.99
  5. Step 5: Solve for x
    x = 90,575.99/329.35
  6. Step 6: Final answer
    x = 275.02

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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.