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Finding the Fourth Proportional to 663.89, 995.21 and 338.27

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Solution

The fourth proportional to 663.89, 995.21 and 338.27 is: 507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.89 : 995.21 = 338.27 : x
  2. Step 2: Convert to fraction form
    663.89/995.21 = 338.27/x
  3. Step 3: Cross multiply
    663.89x = 995.21 × 338.27
  4. Step 4: Simplify right side
    663.89x = 336,643.02
  5. Step 5: Solve for x
    x = 336,643.02/663.89
  6. Step 6: Final answer
    x = 507.08

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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.