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Finding the Fourth Proportional to 591.29, 886.94 and 226.04

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Solution

The fourth proportional to 591.29, 886.94 and 226.04 is: 339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.29 : 886.94 = 226.04 : x
  2. Step 2: Convert to fraction form
    591.29/886.94 = 226.04/x
  3. Step 3: Cross multiply
    591.29x = 886.94 × 226.04
  4. Step 4: Simplify right side
    591.29x = 200,478.35
  5. Step 5: Solve for x
    x = 200,478.35/591.29
  6. Step 6: Final answer
    x = 339.06

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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.