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Finding the Fourth Proportional to 559.42, 839.43 and 398.44

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Solution

The fourth proportional to 559.42, 839.43 and 398.44 is: 597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.42 : 839.43 = 398.44 : x
  2. Step 2: Convert to fraction form
    559.42/839.43 = 398.44/x
  3. Step 3: Cross multiply
    559.42x = 839.43 × 398.44
  4. Step 4: Simplify right side
    559.42x = 334,462.49
  5. Step 5: Solve for x
    x = 334,462.49/559.42
  6. Step 6: Final answer
    x = 597.87

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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.