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Finding the Fourth Proportional to 591.59, 887.37 and 201.48

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Solution

The fourth proportional to 591.59, 887.37 and 201.48 is: 302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.59 : 887.37 = 201.48 : x
  2. Step 2: Convert to fraction form
    591.59/887.37 = 201.48/x
  3. Step 3: Cross multiply
    591.59x = 887.37 × 201.48
  4. Step 4: Simplify right side
    591.59x = 178,787.31
  5. Step 5: Solve for x
    x = 178,787.31/591.59
  6. Step 6: Final answer
    x = 302.22

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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.