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Finding the Fourth Proportional to 591.30, 886.92 and 226.06

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Solution

The fourth proportional to 591.30, 886.92 and 226.06 is: 339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.30 : 886.92 = 226.06 : x
  2. Step 2: Convert to fraction form
    591.30/886.92 = 226.06/x
  3. Step 3: Cross multiply
    591.30x = 886.92 × 226.06
  4. Step 4: Simplify right side
    591.30x = 200,497.14
  5. Step 5: Solve for x
    x = 200,497.14/591.30
  6. Step 6: Final answer
    x = 339.08

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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.