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Finding the Fourth Proportional to 538.44, 807.67 and 230.23

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Solution

The fourth proportional to 538.44, 807.67 and 230.23 is: 345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.44 : 807.67 = 230.23 : x
  2. Step 2: Convert to fraction form
    538.44/807.67 = 230.23/x
  3. Step 3: Cross multiply
    538.44x = 807.67 × 230.23
  4. Step 4: Simplify right side
    538.44x = 185,951.16
  5. Step 5: Solve for x
    x = 185,951.16/538.44
  6. Step 6: Final answer
    x = 345.35

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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.