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Finding the Fourth Proportional to 559.86, 771.87 and 412.50

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Solution

The fourth proportional to 559.86, 771.87 and 412.50 is: 568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.86 : 771.87 = 412.50 : x
  2. Step 2: Convert to fraction form
    559.86/771.87 = 412.50/x
  3. Step 3: Cross multiply
    559.86x = 771.87 × 412.50
  4. Step 4: Simplify right side
    559.86x = 318,396.38
  5. Step 5: Solve for x
    x = 318,396.38/559.86
  6. Step 6: Final answer
    x = 568.71

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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.