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Finding the Fourth Proportional to 591.51, 886.98 and 226.02

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Solution

The fourth proportional to 591.51, 886.98 and 226.02 is: 338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.51 : 886.98 = 226.02 : x
  2. Step 2: Convert to fraction form
    591.51/886.98 = 226.02/x
  3. Step 3: Cross multiply
    591.51x = 886.98 × 226.02
  4. Step 4: Simplify right side
    591.51x = 200,475.22
  5. Step 5: Solve for x
    x = 200,475.22/591.51
  6. Step 6: Final answer
    x = 338.92

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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.