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Finding the Fourth Proportional to 433.43, 598.27 and 411.39

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Solution

The fourth proportional to 433.43, 598.27 and 411.39 is: 567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.43 : 598.27 = 411.39 : x
  2. Step 2: Convert to fraction form
    433.43/598.27 = 411.39/x
  3. Step 3: Cross multiply
    433.43x = 598.27 × 411.39
  4. Step 4: Simplify right side
    433.43x = 246,122.30
  5. Step 5: Solve for x
    x = 246,122.30/433.43
  6. Step 6: Final answer
    x = 567.85

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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.