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Finding the Fourth Proportional to 591.80, 887.58 and 201.80

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Solution

The fourth proportional to 591.80, 887.58 and 201.80 is: 302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.80 : 887.58 = 201.80 : x
  2. Step 2: Convert to fraction form
    591.80/887.58 = 201.80/x
  3. Step 3: Cross multiply
    591.80x = 887.58 × 201.80
  4. Step 4: Simplify right side
    591.80x = 179,113.64
  5. Step 5: Solve for x
    x = 179,113.64/591.80
  6. Step 6: Final answer
    x = 302.66

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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.