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Finding the Fourth Proportional to 538.30, 806.66 and 229.71

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Solution

The fourth proportional to 538.30, 806.66 and 229.71 is: 344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.30 : 806.66 = 229.71 : x
  2. Step 2: Convert to fraction form
    538.30/806.66 = 229.71/x
  3. Step 3: Cross multiply
    538.30x = 806.66 × 229.71
  4. Step 4: Simplify right side
    538.30x = 185,298.34
  5. Step 5: Solve for x
    x = 185,298.34/538.30
  6. Step 6: Final answer
    x = 344.23

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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.