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Finding the Fourth Proportional to 559.48, 771.86 and 338.34

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Solution

The fourth proportional to 559.48, 771.86 and 338.34 is: 466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.48 : 771.86 = 338.34 : x
  2. Step 2: Convert to fraction form
    559.48/771.86 = 338.34/x
  3. Step 3: Cross multiply
    559.48x = 771.86 × 338.34
  4. Step 4: Simplify right side
    559.48x = 261,151.11
  5. Step 5: Solve for x
    x = 261,151.11/559.48
  6. Step 6: Final answer
    x = 466.77

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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.