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Finding the Fourth Proportional to 575.81, 863.87 and 205.64

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Solution

The fourth proportional to 575.81, 863.87 and 205.64 is: 308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.81 : 863.87 = 205.64 : x
  2. Step 2: Convert to fraction form
    575.81/863.87 = 205.64/x
  3. Step 3: Cross multiply
    575.81x = 863.87 × 205.64
  4. Step 4: Simplify right side
    575.81x = 177,644.12
  5. Step 5: Solve for x
    x = 177,644.12/575.81
  6. Step 6: Final answer
    x = 308.51

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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.