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Finding the Fourth Proportional to 401.21, 553.63 and 296.36

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Solution

The fourth proportional to 401.21, 553.63 and 296.36 is: 408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.21 : 553.63 = 296.36 : x
  2. Step 2: Convert to fraction form
    401.21/553.63 = 296.36/x
  3. Step 3: Cross multiply
    401.21x = 553.63 × 296.36
  4. Step 4: Simplify right side
    401.21x = 164,073.79
  5. Step 5: Solve for x
    x = 164,073.79/401.21
  6. Step 6: Final answer
    x = 408.95

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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.