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Finding the Fourth Proportional to 329.94, 494.84 and 98.82

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Solution

The fourth proportional to 329.94, 494.84 and 98.82 is: 148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.94 : 494.84 = 98.82 : x
  2. Step 2: Convert to fraction form
    329.94/494.84 = 98.82/x
  3. Step 3: Cross multiply
    329.94x = 494.84 × 98.82
  4. Step 4: Simplify right side
    329.94x = 48,900.34
  5. Step 5: Solve for x
    x = 48,900.34/329.94
  6. Step 6: Final answer
    x = 148.21

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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.