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Finding the Fourth Proportional to 329.53, 494.15 and 175.42

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Solution

The fourth proportional to 329.53, 494.15 and 175.42 is: 263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.53 : 494.15 = 175.42 : x
  2. Step 2: Convert to fraction form
    329.53/494.15 = 175.42/x
  3. Step 3: Cross multiply
    329.53x = 494.15 × 175.42
  4. Step 4: Simplify right side
    329.53x = 86,684.52
  5. Step 5: Solve for x
    x = 86,684.52/329.53
  6. Step 6: Final answer
    x = 263.06

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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.