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Finding the Fourth Proportional to 556.27, 834.71 and 231.86

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Solution

The fourth proportional to 556.27, 834.71 and 231.86 is: 347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.27 : 834.71 = 231.86 : x
  2. Step 2: Convert to fraction form
    556.27/834.71 = 231.86/x
  3. Step 3: Cross multiply
    556.27x = 834.71 × 231.86
  4. Step 4: Simplify right side
    556.27x = 193,536.79
  5. Step 5: Solve for x
    x = 193,536.79/556.27
  6. Step 6: Final answer
    x = 347.92

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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.