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Finding the Fourth Proportional to 433.84, 650.77 and 217.42

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Solution

The fourth proportional to 433.84, 650.77 and 217.42 is: 326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.84 : 650.77 = 217.42 : x
  2. Step 2: Convert to fraction form
    433.84/650.77 = 217.42/x
  3. Step 3: Cross multiply
    433.84x = 650.77 × 217.42
  4. Step 4: Simplify right side
    433.84x = 141,490.41
  5. Step 5: Solve for x
    x = 141,490.41/433.84
  6. Step 6: Final answer
    x = 326.14

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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.