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Finding the Fourth Proportional to 433.17, 650.07 and 308.97

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Solution

The fourth proportional to 433.17, 650.07 and 308.97 is: 463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.17 : 650.07 = 308.97 : x
  2. Step 2: Convert to fraction form
    433.17/650.07 = 308.97/x
  3. Step 3: Cross multiply
    433.17x = 650.07 × 308.97
  4. Step 4: Simplify right side
    433.17x = 200,852.13
  5. Step 5: Solve for x
    x = 200,852.13/433.17
  6. Step 6: Final answer
    x = 463.68

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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.