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Finding the Fourth Proportional to 359.82, 497.61 and 327.15

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Solution

The fourth proportional to 359.82, 497.61 and 327.15 is: 452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.82 : 497.61 = 327.15 : x
  2. Step 2: Convert to fraction form
    359.82/497.61 = 327.15/x
  3. Step 3: Cross multiply
    359.82x = 497.61 × 327.15
  4. Step 4: Simplify right side
    359.82x = 162,793.11
  5. Step 5: Solve for x
    x = 162,793.11/359.82
  6. Step 6: Final answer
    x = 452.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.