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Finding the Fourth Proportional to 559, 771.52 and 379.47

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Solution

The fourth proportional to 559, 771.52 and 379.47 is: 523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559 : 771.52 = 379.47 : x
  2. Step 2: Convert to fraction form
    559/771.52 = 379.47/x
  3. Step 3: Cross multiply
    559x = 771.52 × 379.47
  4. Step 4: Simplify right side
    559x = 292,768.69
  5. Step 5: Solve for x
    x = 292,768.69/559
  6. Step 6: Final answer
    x = 523.74

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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.