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Finding the Fourth Proportional to 329.65, 494.54 and 98.56

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Solution

The fourth proportional to 329.65, 494.54 and 98.56 is: 147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.65 : 494.54 = 98.56 : x
  2. Step 2: Convert to fraction form
    329.65/494.54 = 98.56/x
  3. Step 3: Cross multiply
    329.65x = 494.54 × 98.56
  4. Step 4: Simplify right side
    329.65x = 48,739.39
  5. Step 5: Solve for x
    x = 48,739.39/329.65
  6. Step 6: Final answer
    x = 147.85

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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.