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Finding the Fourth Proportional to 538.71, 807.50 and 230.71

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Solution

The fourth proportional to 538.71, 807.50 and 230.71 is: 345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.71 : 807.50 = 230.71 : x
  2. Step 2: Convert to fraction form
    538.71/807.50 = 230.71/x
  3. Step 3: Cross multiply
    538.71x = 807.50 × 230.71
  4. Step 4: Simplify right side
    538.71x = 186,298.33
  5. Step 5: Solve for x
    x = 186,298.33/538.71
  6. Step 6: Final answer
    x = 345.82

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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.