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Finding the Fourth Proportional to 591.56, 887.34 and 206.84

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Solution

The fourth proportional to 591.56, 887.34 and 206.84 is: 310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.56 : 887.34 = 206.84 : x
  2. Step 2: Convert to fraction form
    591.56/887.34 = 206.84/x
  3. Step 3: Cross multiply
    591.56x = 887.34 × 206.84
  4. Step 4: Simplify right side
    591.56x = 183,537.41
  5. Step 5: Solve for x
    x = 183,537.41/591.56
  6. Step 6: Final answer
    x = 310.26

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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.