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Finding the Fourth Proportional to 559.14, 771.69 and 363.07

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Solution

The fourth proportional to 559.14, 771.69 and 363.07 is: 501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.14 : 771.69 = 363.07 : x
  2. Step 2: Convert to fraction form
    559.14/771.69 = 363.07/x
  3. Step 3: Cross multiply
    559.14x = 771.69 × 363.07
  4. Step 4: Simplify right side
    559.14x = 280,177.49
  5. Step 5: Solve for x
    x = 280,177.49/559.14
  6. Step 6: Final answer
    x = 501.09

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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.