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Finding the Fourth Proportional to 575.81, 863.84 and 191.03

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Solution

The fourth proportional to 575.81, 863.84 and 191.03 is: 286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.81 : 863.84 = 191.03 : x
  2. Step 2: Convert to fraction form
    575.81/863.84 = 191.03/x
  3. Step 3: Cross multiply
    575.81x = 863.84 × 191.03
  4. Step 4: Simplify right side
    575.81x = 165,019.96
  5. Step 5: Solve for x
    x = 165,019.96/575.81
  6. Step 6: Final answer
    x = 286.59

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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.