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Finding the Fourth Proportional to 433.70, 650.91 and 338.12

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Solution

The fourth proportional to 433.70, 650.91 and 338.12 is: 507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.70 : 650.91 = 338.12 : x
  2. Step 2: Convert to fraction form
    433.70/650.91 = 338.12/x
  3. Step 3: Cross multiply
    433.70x = 650.91 × 338.12
  4. Step 4: Simplify right side
    433.70x = 220,085.69
  5. Step 5: Solve for x
    x = 220,085.69/433.70
  6. Step 6: Final answer
    x = 507.46

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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.