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Finding the Fourth Proportional to 400.41, 552.42 and 253.14

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Solution

The fourth proportional to 400.41, 552.42 and 253.14 is: 349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.41 : 552.42 = 253.14 : x
  2. Step 2: Convert to fraction form
    400.41/552.42 = 253.14/x
  3. Step 3: Cross multiply
    400.41x = 552.42 × 253.14
  4. Step 4: Simplify right side
    400.41x = 139,839.60
  5. Step 5: Solve for x
    x = 139,839.60/400.41
  6. Step 6: Final answer
    x = 349.24

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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.