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Finding the Fourth Proportional to 401.48, 553.54 and 296.42

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Solution

The fourth proportional to 401.48, 553.54 and 296.42 is: 408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.48 : 553.54 = 296.42 : x
  2. Step 2: Convert to fraction form
    401.48/553.54 = 296.42/x
  3. Step 3: Cross multiply
    401.48x = 553.54 × 296.42
  4. Step 4: Simplify right side
    401.48x = 164,076.82
  5. Step 5: Solve for x
    x = 164,076.82/401.48
  6. Step 6: Final answer
    x = 408.69

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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.