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Finding the Fourth Proportional to 432.62, 649.19 and 227.33

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Solution

The fourth proportional to 432.62, 649.19 and 227.33 is: 341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.62 : 649.19 = 227.33 : x
  2. Step 2: Convert to fraction form
    432.62/649.19 = 227.33/x
  3. Step 3: Cross multiply
    432.62x = 649.19 × 227.33
  4. Step 4: Simplify right side
    432.62x = 147,580.36
  5. Step 5: Solve for x
    x = 147,580.36/432.62
  6. Step 6: Final answer
    x = 341.14

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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.