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Finding the Fourth Proportional to 671.08, 1,006.76 and 208.84

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Solution

The fourth proportional to 671.08, 1,006.76 and 208.84 is: 313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.08 : 1,006.76 = 208.84 : x
  2. Step 2: Convert to fraction form
    671.08/1,006.76 = 208.84/x
  3. Step 3: Cross multiply
    671.08x = 1,006.76 × 208.84
  4. Step 4: Simplify right side
    671.08x = 210,251.76
  5. Step 5: Solve for x
    x = 210,251.76/671.08
  6. Step 6: Final answer
    x = 313.30

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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.