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Finding the Fourth Proportional to 324.34, 487.08 and 242.12

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Solution

The fourth proportional to 324.34, 487.08 and 242.12 is: 363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.34 : 487.08 = 242.12 : x
  2. Step 2: Convert to fraction form
    324.34/487.08 = 242.12/x
  3. Step 3: Cross multiply
    324.34x = 487.08 × 242.12
  4. Step 4: Simplify right side
    324.34x = 117,933.03
  5. Step 5: Solve for x
    x = 117,933.03/324.34
  6. Step 6: Final answer
    x = 363.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.