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Finding the Fourth Proportional to 401.72, 601.29 and 363.83

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Solution

The fourth proportional to 401.72, 601.29 and 363.83 is: 544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.72 : 601.29 = 363.83 : x
  2. Step 2: Convert to fraction form
    401.72/601.29 = 363.83/x
  3. Step 3: Cross multiply
    401.72x = 601.29 × 363.83
  4. Step 4: Simplify right side
    401.72x = 218,768.84
  5. Step 5: Solve for x
    x = 218,768.84/401.72
  6. Step 6: Final answer
    x = 544.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.