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Finding the Fourth Proportional to 671.42, 1,007.23 and 209.24

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Solution

The fourth proportional to 671.42, 1,007.23 and 209.24 is: 313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.42 : 1,007.23 = 209.24 : x
  2. Step 2: Convert to fraction form
    671.42/1,007.23 = 209.24/x
  3. Step 3: Cross multiply
    671.42x = 1,007.23 × 209.24
  4. Step 4: Simplify right side
    671.42x = 210,747.25
  5. Step 5: Solve for x
    x = 210,747.25/671.42
  6. Step 6: Final answer
    x = 313.88

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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.