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Finding the Fourth Proportional to 671.32, 1,006.38 and 238.42

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Solution

The fourth proportional to 671.32, 1,006.38 and 238.42 is: 357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.32 : 1,006.38 = 238.42 : x
  2. Step 2: Convert to fraction form
    671.32/1,006.38 = 238.42/x
  3. Step 3: Cross multiply
    671.32x = 1,006.38 × 238.42
  4. Step 4: Simplify right side
    671.32x = 239,941.12
  5. Step 5: Solve for x
    x = 239,941.12/671.32
  6. Step 6: Final answer
    x = 357.42

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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.