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Finding the Fourth Proportional to 400.84, 552.49 and 365.99

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Solution

The fourth proportional to 400.84, 552.49 and 365.99 is: 504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.84 : 552.49 = 365.99 : x
  2. Step 2: Convert to fraction form
    400.84/552.49 = 365.99/x
  3. Step 3: Cross multiply
    400.84x = 552.49 × 365.99
  4. Step 4: Simplify right side
    400.84x = 202,202.14
  5. Step 5: Solve for x
    x = 202,202.14/400.84
  6. Step 6: Final answer
    x = 504.45

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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.