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Finding the Fourth Proportional to 575.82, 863.58 and 229.03

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Solution

The fourth proportional to 575.82, 863.58 and 229.03 is: 343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.82 : 863.58 = 229.03 : x
  2. Step 2: Convert to fraction form
    575.82/863.58 = 229.03/x
  3. Step 3: Cross multiply
    575.82x = 863.58 × 229.03
  4. Step 4: Simplify right side
    575.82x = 197,785.73
  5. Step 5: Solve for x
    x = 197,785.73/575.82
  6. Step 6: Final answer
    x = 343.49

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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.