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Finding the Fourth Proportional to 443.80, 613.02 and 433.24

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Solution

The fourth proportional to 443.80, 613.02 and 433.24 is: 598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.80 : 613.02 = 433.24 : x
  2. Step 2: Convert to fraction form
    443.80/613.02 = 433.24/x
  3. Step 3: Cross multiply
    443.80x = 613.02 × 433.24
  4. Step 4: Simplify right side
    443.80x = 265,584.78
  5. Step 5: Solve for x
    x = 265,584.78/443.80
  6. Step 6: Final answer
    x = 598.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.