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Finding the Fourth Proportional to 575.99, 863.37 and 229.18

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Solution

The fourth proportional to 575.99, 863.37 and 229.18 is: 343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.99 : 863.37 = 229.18 : x
  2. Step 2: Convert to fraction form
    575.99/863.37 = 229.18/x
  3. Step 3: Cross multiply
    575.99x = 863.37 × 229.18
  4. Step 4: Simplify right side
    575.99x = 197,867.14
  5. Step 5: Solve for x
    x = 197,867.14/575.99
  6. Step 6: Final answer
    x = 343.53

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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.