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Finding the Fourth Proportional to 800.14, 1,200.42 and 338.14

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Solution

The fourth proportional to 800.14, 1,200.42 and 338.14 is: 507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.14 : 1,200.42 = 338.14 : x
  2. Step 2: Convert to fraction form
    800.14/1,200.42 = 338.14/x
  3. Step 3: Cross multiply
    800.14x = 1,200.42 × 338.14
  4. Step 4: Simplify right side
    800.14x = 405,910.02
  5. Step 5: Solve for x
    x = 405,910.02/800.14
  6. Step 6: Final answer
    x = 507.30

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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.