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Finding the Fourth Proportional to 556.31, 834.56 and 231.69

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Solution

The fourth proportional to 556.31, 834.56 and 231.69 is: 347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.31 : 834.56 = 231.69 : x
  2. Step 2: Convert to fraction form
    556.31/834.56 = 231.69/x
  3. Step 3: Cross multiply
    556.31x = 834.56 × 231.69
  4. Step 4: Simplify right side
    556.31x = 193,358.05
  5. Step 5: Solve for x
    x = 193,358.05/556.31
  6. Step 6: Final answer
    x = 347.58

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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.