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Finding the Fourth Proportional to 671.22, 1,006.84 and 209.00

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Solution

The fourth proportional to 671.22, 1,006.84 and 209.00 is: 313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.22 : 1,006.84 = 209.00 : x
  2. Step 2: Convert to fraction form
    671.22/1,006.84 = 209.00/x
  3. Step 3: Cross multiply
    671.22x = 1,006.84 × 209.00
  4. Step 4: Simplify right side
    671.22x = 210,424.53
  5. Step 5: Solve for x
    x = 210,424.53/671.22
  6. Step 6: Final answer
    x = 313.50

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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.