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Finding the Fourth Proportional to 559.48, 838.30 and 342.44

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Solution

The fourth proportional to 559.48, 838.30 and 342.44 is: 513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.48 : 838.30 = 342.44 : x
  2. Step 2: Convert to fraction form
    559.48/838.30 = 342.44/x
  3. Step 3: Cross multiply
    559.48x = 838.30 × 342.44
  4. Step 4: Simplify right side
    559.48x = 287,067.45
  5. Step 5: Solve for x
    x = 287,067.45/559.48
  6. Step 6: Final answer
    x = 513.10

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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.