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Finding the Fourth Proportional to 559.55, 838.10 and 270.38

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Solution

The fourth proportional to 559.55, 838.10 and 270.38 is: 404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.55 : 838.10 = 270.38 : x
  2. Step 2: Convert to fraction form
    559.55/838.10 = 270.38/x
  3. Step 3: Cross multiply
    559.55x = 838.10 × 270.38
  4. Step 4: Simplify right side
    559.55x = 226,601.96
  5. Step 5: Solve for x
    x = 226,601.96/559.55
  6. Step 6: Final answer
    x = 404.98

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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.