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Finding the Fourth Proportional to 671.32, 1,006.06 and 305.66

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Solution

The fourth proportional to 671.32, 1,006.06 and 305.66 is: 458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.32 : 1,006.06 = 305.66 : x
  2. Step 2: Convert to fraction form
    671.32/1,006.06 = 305.66/x
  3. Step 3: Cross multiply
    671.32x = 1,006.06 × 305.66
  4. Step 4: Simplify right side
    671.32x = 307,512.30
  5. Step 5: Solve for x
    x = 307,512.30/671.32
  6. Step 6: Final answer
    x = 458.07

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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.