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Finding the Fourth Proportional to 447.81, 667.32 and 433.13

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Solution

The fourth proportional to 447.81, 667.32 and 433.13 is: 645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.81 : 667.32 = 433.13 : x
  2. Step 2: Convert to fraction form
    447.81/667.32 = 433.13/x
  3. Step 3: Cross multiply
    447.81x = 667.32 × 433.13
  4. Step 4: Simplify right side
    447.81x = 289,033.56
  5. Step 5: Solve for x
    x = 289,033.56/447.81
  6. Step 6: Final answer
    x = 645.45

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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.