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Finding the Fourth Proportional to 412.86, 616.57 and 367.50

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Solution

The fourth proportional to 412.86, 616.57 and 367.50 is: 548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.86 : 616.57 = 367.50 : x
  2. Step 2: Convert to fraction form
    412.86/616.57 = 367.50/x
  3. Step 3: Cross multiply
    412.86x = 616.57 × 367.50
  4. Step 4: Simplify right side
    412.86x = 226,589.48
  5. Step 5: Solve for x
    x = 226,589.48/412.86
  6. Step 6: Final answer
    x = 548.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.