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Finding the Fourth Proportional to 400.98, 553.40 and 235.16

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Solution

The fourth proportional to 400.98, 553.40 and 235.16 is: 324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.98 : 553.40 = 235.16 : x
  2. Step 2: Convert to fraction form
    400.98/553.40 = 235.16/x
  3. Step 3: Cross multiply
    400.98x = 553.40 × 235.16
  4. Step 4: Simplify right side
    400.98x = 130,137.54
  5. Step 5: Solve for x
    x = 130,137.54/400.98
  6. Step 6: Final answer
    x = 324.55

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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.