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Finding the Fourth Proportional to 591.24, 886.61 and 201.14

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Solution

The fourth proportional to 591.24, 886.61 and 201.14 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.24 : 886.61 = 201.14 : x
  2. Step 2: Convert to fraction form
    591.24/886.61 = 201.14/x
  3. Step 3: Cross multiply
    591.24x = 886.61 × 201.14
  4. Step 4: Simplify right side
    591.24x = 178,329.51
  5. Step 5: Solve for x
    x = 178,329.51/591.24
  6. Step 6: Final answer
    x = 301.62

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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.