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Finding the Fourth Proportional to 559.70, 771.89 and 363

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Solution

The fourth proportional to 559.70, 771.89 and 363 is: 500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.70 : 771.89 = 363 : x
  2. Step 2: Convert to fraction form
    559.70/771.89 = 363/x
  3. Step 3: Cross multiply
    559.70x = 771.89 × 363
  4. Step 4: Simplify right side
    559.70x = 280,194.26
  5. Step 5: Solve for x
    x = 280,194.26/559.70
  6. Step 6: Final answer
    x = 500.62

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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.