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Finding the Fourth Proportional to 359.37, 538.28 and 243.17

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Solution

The fourth proportional to 359.37, 538.28 and 243.17 is: 364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.37 : 538.28 = 243.17 : x
  2. Step 2: Convert to fraction form
    359.37/538.28 = 243.17/x
  3. Step 3: Cross multiply
    359.37x = 538.28 × 243.17
  4. Step 4: Simplify right side
    359.37x = 130,892.33
  5. Step 5: Solve for x
    x = 130,892.33/359.37
  6. Step 6: Final answer
    x = 364.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.