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Finding the Fourth Proportional to 538.68, 806.34 and 353.37

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Solution

The fourth proportional to 538.68, 806.34 and 353.37 is: 528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.68 : 806.34 = 353.37 : x
  2. Step 2: Convert to fraction form
    538.68/806.34 = 353.37/x
  3. Step 3: Cross multiply
    538.68x = 806.34 × 353.37
  4. Step 4: Simplify right side
    538.68x = 284,936.37
  5. Step 5: Solve for x
    x = 284,936.37/538.68
  6. Step 6: Final answer
    x = 528.95

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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.