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Finding the Fourth Proportional to 433.83, 650.78 and 214.57

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Solution

The fourth proportional to 433.83, 650.78 and 214.57 is: 321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.83 : 650.78 = 214.57 : x
  2. Step 2: Convert to fraction form
    433.83/650.78 = 214.57/x
  3. Step 3: Cross multiply
    433.83x = 650.78 × 214.57
  4. Step 4: Simplify right side
    433.83x = 139,637.86
  5. Step 5: Solve for x
    x = 139,637.86/433.83
  6. Step 6: Final answer
    x = 321.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.