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Finding the Fourth Proportional to 538.45, 806.15 and 423.43

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Solution

The fourth proportional to 538.45, 806.15 and 423.43 is: 633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.45 : 806.15 = 423.43 : x
  2. Step 2: Convert to fraction form
    538.45/806.15 = 423.43/x
  3. Step 3: Cross multiply
    538.45x = 806.15 × 423.43
  4. Step 4: Simplify right side
    538.45x = 341,347.14
  5. Step 5: Solve for x
    x = 341,347.14/538.45
  6. Step 6: Final answer
    x = 633.95

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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.