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Finding the Fourth Proportional to 401.88, 601.73 and 319.22

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Solution

The fourth proportional to 401.88, 601.73 and 319.22 is: 477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.88 : 601.73 = 319.22 : x
  2. Step 2: Convert to fraction form
    401.88/601.73 = 319.22/x
  3. Step 3: Cross multiply
    401.88x = 601.73 × 319.22
  4. Step 4: Simplify right side
    401.88x = 192,086.48
  5. Step 5: Solve for x
    x = 192,086.48/401.88
  6. Step 6: Final answer
    x = 477.97

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