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Finding the Fourth Proportional to 591.57, 887.15 and 201.42

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Solution

The fourth proportional to 591.57, 887.15 and 201.42 is: 302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.57 : 887.15 = 201.42 : x
  2. Step 2: Convert to fraction form
    591.57/887.15 = 201.42/x
  3. Step 3: Cross multiply
    591.57x = 887.15 × 201.42
  4. Step 4: Simplify right side
    591.57x = 178,690.26
  5. Step 5: Solve for x
    x = 178,690.26/591.57
  6. Step 6: Final answer
    x = 302.06

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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.