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Finding the Fourth Proportional to 400.95, 553.23 and 290.21

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Solution

The fourth proportional to 400.95, 553.23 and 290.21 is: 400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.95 : 553.23 = 290.21 : x
  2. Step 2: Convert to fraction form
    400.95/553.23 = 290.21/x
  3. Step 3: Cross multiply
    400.95x = 553.23 × 290.21
  4. Step 4: Simplify right side
    400.95x = 160,550.11
  5. Step 5: Solve for x
    x = 160,550.11/400.95
  6. Step 6: Final answer
    x = 400.42

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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.