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Finding the Fourth Proportional to 657.50, 906.57 and 447.62

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Solution

The fourth proportional to 657.50, 906.57 and 447.62 is: 617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.50 : 906.57 = 447.62 : x
  2. Step 2: Convert to fraction form
    657.50/906.57 = 447.62/x
  3. Step 3: Cross multiply
    657.50x = 906.57 × 447.62
  4. Step 4: Simplify right side
    657.50x = 405,794.33
  5. Step 5: Solve for x
    x = 405,794.33/657.50
  6. Step 6: Final answer
    x = 617.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.