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Finding the Fourth Proportional to 591.28, 887.04 and 206.56

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Solution

The fourth proportional to 591.28, 887.04 and 206.56 is: 309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.28 : 887.04 = 206.56 : x
  2. Step 2: Convert to fraction form
    591.28/887.04 = 206.56/x
  3. Step 3: Cross multiply
    591.28x = 887.04 × 206.56
  4. Step 4: Simplify right side
    591.28x = 183,226.98
  5. Step 5: Solve for x
    x = 183,226.98/591.28
  6. Step 6: Final answer
    x = 309.88

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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.