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Finding the Fourth Proportional to 400.84, 553.50 and 253.73

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Solution

The fourth proportional to 400.84, 553.50 and 253.73 is: 350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.84 : 553.50 = 253.73 : x
  2. Step 2: Convert to fraction form
    400.84/553.50 = 253.73/x
  3. Step 3: Cross multiply
    400.84x = 553.50 × 253.73
  4. Step 4: Simplify right side
    400.84x = 140,440.94
  5. Step 5: Solve for x
    x = 140,440.94/400.84
  6. Step 6: Final answer
    x = 350.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.