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Finding the Fourth Proportional to 400.36, 552.42 and 242.92

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Solution

The fourth proportional to 400.36, 552.42 and 242.92 is: 335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.36 : 552.42 = 242.92 : x
  2. Step 2: Convert to fraction form
    400.36/552.42 = 242.92/x
  3. Step 3: Cross multiply
    400.36x = 552.42 × 242.92
  4. Step 4: Simplify right side
    400.36x = 134,193.87
  5. Step 5: Solve for x
    x = 134,193.87/400.36
  6. Step 6: Final answer
    x = 335.18

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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.