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Finding the Fourth Proportional to 671.36, 1,006.79 and 232.50

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Solution

The fourth proportional to 671.36, 1,006.79 and 232.50 is: 348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.36 : 1,006.79 = 232.50 : x
  2. Step 2: Convert to fraction form
    671.36/1,006.79 = 232.50/x
  3. Step 3: Cross multiply
    671.36x = 1,006.79 × 232.50
  4. Step 4: Simplify right side
    671.36x = 234,078.68
  5. Step 5: Solve for x
    x = 234,078.68/671.36
  6. Step 6: Final answer
    x = 348.66

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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.