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Finding the Fourth Proportional to 400.80, 553.36 and 303

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Solution

The fourth proportional to 400.80, 553.36 and 303 is: 418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.80 : 553.36 = 303 : x
  2. Step 2: Convert to fraction form
    400.80/553.36 = 303/x
  3. Step 3: Cross multiply
    400.80x = 553.36 × 303
  4. Step 4: Simplify right side
    400.80x = 167,668.08
  5. Step 5: Solve for x
    x = 167,668.08/400.80
  6. Step 6: Final answer
    x = 418.33

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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.