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Finding the Fourth Proportional to 559.78, 771.64 and 393.54

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Solution

The fourth proportional to 559.78, 771.64 and 393.54 is: 542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.78 : 771.64 = 393.54 : x
  2. Step 2: Convert to fraction form
    559.78/771.64 = 393.54/x
  3. Step 3: Cross multiply
    559.78x = 771.64 × 393.54
  4. Step 4: Simplify right side
    559.78x = 303,671.21
  5. Step 5: Solve for x
    x = 303,671.21/559.78
  6. Step 6: Final answer
    x = 542.48

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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.