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Finding the Fourth Proportional to 538.11, 807.23 and 230

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Solution

The fourth proportional to 538.11, 807.23 and 230 is: 345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.11 : 807.23 = 230 : x
  2. Step 2: Convert to fraction form
    538.11/807.23 = 230/x
  3. Step 3: Cross multiply
    538.11x = 807.23 × 230
  4. Step 4: Simplify right side
    538.11x = 185,662.90
  5. Step 5: Solve for x
    x = 185,662.90/538.11
  6. Step 6: Final answer
    x = 345.03

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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.