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Finding the Fourth Proportional to 329.82, 494.31 and 175.82

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Solution

The fourth proportional to 329.82, 494.31 and 175.82 is: 263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.82 : 494.31 = 175.82 : x
  2. Step 2: Convert to fraction form
    329.82/494.31 = 175.82/x
  3. Step 3: Cross multiply
    329.82x = 494.31 × 175.82
  4. Step 4: Simplify right side
    329.82x = 86,909.58
  5. Step 5: Solve for x
    x = 86,909.58/329.82
  6. Step 6: Final answer
    x = 263.51

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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.