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Finding the Fourth Proportional to 664.30, 996.45 and 558.70

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Solution

The fourth proportional to 664.30, 996.45 and 558.70 is: 838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.30 : 996.45 = 558.70 : x
  2. Step 2: Convert to fraction form
    664.30/996.45 = 558.70/x
  3. Step 3: Cross multiply
    664.30x = 996.45 × 558.70
  4. Step 4: Simplify right side
    664.30x = 556,716.62
  5. Step 5: Solve for x
    x = 556,716.62/664.30
  6. Step 6: Final answer
    x = 838.05

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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.