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Finding the Fourth Proportional to 663.08, 914.41 and 438.91

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Solution

The fourth proportional to 663.08, 914.41 and 438.91 is: 605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.08 : 914.41 = 438.91 : x
  2. Step 2: Convert to fraction form
    663.08/914.41 = 438.91/x
  3. Step 3: Cross multiply
    663.08x = 914.41 × 438.91
  4. Step 4: Simplify right side
    663.08x = 401,341.96
  5. Step 5: Solve for x
    x = 401,341.96/663.08
  6. Step 6: Final answer
    x = 605.27

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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.