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Finding the Fourth Proportional to 538.47, 807.69 and 230.17

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Solution

The fourth proportional to 538.47, 807.69 and 230.17 is: 345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.47 : 807.69 = 230.17 : x
  2. Step 2: Convert to fraction form
    538.47/807.69 = 230.17/x
  3. Step 3: Cross multiply
    538.47x = 807.69 × 230.17
  4. Step 4: Simplify right side
    538.47x = 185,903.99
  5. Step 5: Solve for x
    x = 185,903.99/538.47
  6. Step 6: Final answer
    x = 345.24

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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.