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Finding the Fourth Proportional to 559.34, 771.96 and 338.30

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Solution

The fourth proportional to 559.34, 771.96 and 338.30 is: 466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.34 : 771.96 = 338.30 : x
  2. Step 2: Convert to fraction form
    559.34/771.96 = 338.30/x
  3. Step 3: Cross multiply
    559.34x = 771.96 × 338.30
  4. Step 4: Simplify right side
    559.34x = 261,154.07
  5. Step 5: Solve for x
    x = 261,154.07/559.34
  6. Step 6: Final answer
    x = 466.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.