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Finding the Fourth Proportional to 559.43, 838.52 and 299.16

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Solution

The fourth proportional to 559.43, 838.52 and 299.16 is: 448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.43 : 838.52 = 299.16 : x
  2. Step 2: Convert to fraction form
    559.43/838.52 = 299.16/x
  3. Step 3: Cross multiply
    559.43x = 838.52 × 299.16
  4. Step 4: Simplify right side
    559.43x = 250,850.15
  5. Step 5: Solve for x
    x = 250,850.15/559.43
  6. Step 6: Final answer
    x = 448.41

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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.