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Finding the Fourth Proportional to 400.17, 552.44 and 253.02

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Solution

The fourth proportional to 400.17, 552.44 and 253.02 is: 349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.17 : 552.44 = 253.02 : x
  2. Step 2: Convert to fraction form
    400.17/552.44 = 253.02/x
  3. Step 3: Cross multiply
    400.17x = 552.44 × 253.02
  4. Step 4: Simplify right side
    400.17x = 139,777.10
  5. Step 5: Solve for x
    x = 139,777.10/400.17
  6. Step 6: Final answer
    x = 349.29

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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.