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Finding the Fourth Proportional to 800.31, 1,200.57 and 338.01

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Solution

The fourth proportional to 800.31, 1,200.57 and 338.01 is: 507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.31 : 1,200.57 = 338.01 : x
  2. Step 2: Convert to fraction form
    800.31/1,200.57 = 338.01/x
  3. Step 3: Cross multiply
    800.31x = 1,200.57 × 338.01
  4. Step 4: Simplify right side
    800.31x = 405,804.67
  5. Step 5: Solve for x
    x = 405,804.67/800.31
  6. Step 6: Final answer
    x = 507.06

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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.