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Finding the Fourth Proportional to 559.38, 838.94 and 342.84

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Solution

The fourth proportional to 559.38, 838.94 and 342.84 is: 514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.38 : 838.94 = 342.84 : x
  2. Step 2: Convert to fraction form
    559.38/838.94 = 342.84/x
  3. Step 3: Cross multiply
    559.38x = 838.94 × 342.84
  4. Step 4: Simplify right side
    559.38x = 287,620.48
  5. Step 5: Solve for x
    x = 287,620.48/559.38
  6. Step 6: Final answer
    x = 514.18

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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.