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Finding the Fourth Proportional to 663.30, 914.81 and 401.09

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Solution

The fourth proportional to 663.30, 914.81 and 401.09 is: 553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.30 : 914.81 = 401.09 : x
  2. Step 2: Convert to fraction form
    663.30/914.81 = 401.09/x
  3. Step 3: Cross multiply
    663.30x = 914.81 × 401.09
  4. Step 4: Simplify right side
    663.30x = 366,914.56
  5. Step 5: Solve for x
    x = 366,914.56/663.30
  6. Step 6: Final answer
    x = 553.17

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Why These Related Problems?

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