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Finding the Fourth Proportional to 400.82, 552.90 and 253.20

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Solution

The fourth proportional to 400.82, 552.90 and 253.20 is: 349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.82 : 552.90 = 253.20 : x
  2. Step 2: Convert to fraction form
    400.82/552.90 = 253.20/x
  3. Step 3: Cross multiply
    400.82x = 552.90 × 253.20
  4. Step 4: Simplify right side
    400.82x = 139,994.28
  5. Step 5: Solve for x
    x = 139,994.28/400.82
  6. Step 6: Final answer
    x = 349.27

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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.