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Finding the Fourth Proportional to 559.37, 838.59 and 234.98

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Solution

The fourth proportional to 559.37, 838.59 and 234.98 is: 352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.37 : 838.59 = 234.98 : x
  2. Step 2: Convert to fraction form
    559.37/838.59 = 234.98/x
  3. Step 3: Cross multiply
    559.37x = 838.59 × 234.98
  4. Step 4: Simplify right side
    559.37x = 197,047.69
  5. Step 5: Solve for x
    x = 197,047.69/559.37
  6. Step 6: Final answer
    x = 352.27

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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.