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Finding the Fourth Proportional to 671.45, 1,006.39 and 342.07

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Solution

The fourth proportional to 671.45, 1,006.39 and 342.07 is: 512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.45 : 1,006.39 = 342.07 : x
  2. Step 2: Convert to fraction form
    671.45/1,006.39 = 342.07/x
  3. Step 3: Cross multiply
    671.45x = 1,006.39 × 342.07
  4. Step 4: Simplify right side
    671.45x = 344,253.74
  5. Step 5: Solve for x
    x = 344,253.74/671.45
  6. Step 6: Final answer
    x = 512.71

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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.