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Finding the Fourth Proportional to 587.09, 878.81 and 433.19

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Solution

The fourth proportional to 587.09, 878.81 and 433.19 is: 648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.09 : 878.81 = 433.19 : x
  2. Step 2: Convert to fraction form
    587.09/878.81 = 433.19/x
  3. Step 3: Cross multiply
    587.09x = 878.81 × 433.19
  4. Step 4: Simplify right side
    587.09x = 380,685.14
  5. Step 5: Solve for x
    x = 380,685.14/587.09
  6. Step 6: Final answer
    x = 648.43

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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.