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Finding the Fourth Proportional to 669.96, 1,004.82 and 231.27

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Solution

The fourth proportional to 669.96, 1,004.82 and 231.27 is: 346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.96 : 1,004.82 = 231.27 : x
  2. Step 2: Convert to fraction form
    669.96/1,004.82 = 231.27/x
  3. Step 3: Cross multiply
    669.96x = 1,004.82 × 231.27
  4. Step 4: Simplify right side
    669.96x = 232,384.72
  5. Step 5: Solve for x
    x = 232,384.72/669.96
  6. Step 6: Final answer
    x = 346.86

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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.