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Finding the Fourth Proportional to 559.16, 838.47 and 270.26

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Solution

The fourth proportional to 559.16, 838.47 and 270.26 is: 405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.16 : 838.47 = 270.26 : x
  2. Step 2: Convert to fraction form
    559.16/838.47 = 270.26/x
  3. Step 3: Cross multiply
    559.16x = 838.47 × 270.26
  4. Step 4: Simplify right side
    559.16x = 226,604.90
  5. Step 5: Solve for x
    x = 226,604.90/559.16
  6. Step 6: Final answer
    x = 405.26

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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.