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Finding the Fourth Proportional to 663.52, 914.96 and 439.12

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Solution

The fourth proportional to 663.52, 914.96 and 439.12 is: 605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.52 : 914.96 = 439.12 : x
  2. Step 2: Convert to fraction form
    663.52/914.96 = 439.12/x
  3. Step 3: Cross multiply
    663.52x = 914.96 × 439.12
  4. Step 4: Simplify right side
    663.52x = 401,777.24
  5. Step 5: Solve for x
    x = 401,777.24/663.52
  6. Step 6: Final answer
    x = 605.52

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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.