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Finding the Fourth Proportional to 329.79, 494.71 and 113.38

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Solution

The fourth proportional to 329.79, 494.71 and 113.38 is: 170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.79 : 494.71 = 113.38 : x
  2. Step 2: Convert to fraction form
    329.79/494.71 = 113.38/x
  3. Step 3: Cross multiply
    329.79x = 494.71 × 113.38
  4. Step 4: Simplify right side
    329.79x = 56,090.22
  5. Step 5: Solve for x
    x = 56,090.22/329.79
  6. Step 6: Final answer
    x = 170.08

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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.