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Finding the Fourth Proportional to 559.18, 771.67 and 338.14

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Solution

The fourth proportional to 559.18, 771.67 and 338.14 is: 466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.18 : 771.67 = 338.14 : x
  2. Step 2: Convert to fraction form
    559.18/771.67 = 338.14/x
  3. Step 3: Cross multiply
    559.18x = 771.67 × 338.14
  4. Step 4: Simplify right side
    559.18x = 260,926.94
  5. Step 5: Solve for x
    x = 260,926.94/559.18
  6. Step 6: Final answer
    x = 466.62

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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.