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Finding the Fourth Proportional to 352.44, 487.08 and 311.94

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Solution

The fourth proportional to 352.44, 487.08 and 311.94 is: 431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.44 : 487.08 = 311.94 : x
  2. Step 2: Convert to fraction form
    352.44/487.08 = 311.94/x
  3. Step 3: Cross multiply
    352.44x = 487.08 × 311.94
  4. Step 4: Simplify right side
    352.44x = 151,939.74
  5. Step 5: Solve for x
    x = 151,939.74/352.44
  6. Step 6: Final answer
    x = 431.11

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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.