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Finding the Fourth Proportional to 401.30, 553.50 and 290.96

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Solution

The fourth proportional to 401.30, 553.50 and 290.96 is: 401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.30 : 553.50 = 290.96 : x
  2. Step 2: Convert to fraction form
    401.30/553.50 = 290.96/x
  3. Step 3: Cross multiply
    401.30x = 553.50 × 290.96
  4. Step 4: Simplify right side
    401.30x = 161,046.36
  5. Step 5: Solve for x
    x = 161,046.36/401.30
  6. Step 6: Final answer
    x = 401.31

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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.