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Finding the Fourth Proportional to 671.21, 1,006.82 and 305.90

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Solution

The fourth proportional to 671.21, 1,006.82 and 305.90 is: 458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.21 : 1,006.82 = 305.90 : x
  2. Step 2: Convert to fraction form
    671.21/1,006.82 = 305.90/x
  3. Step 3: Cross multiply
    671.21x = 1,006.82 × 305.90
  4. Step 4: Simplify right side
    671.21x = 307,979.67
  5. Step 5: Solve for x
    x = 307,979.67/671.21
  6. Step 6: Final answer
    x = 458.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.