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Finding the Fourth Proportional to 411.88, 617.82 and 401.55

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Solution

The fourth proportional to 411.88, 617.82 and 401.55 is: 602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.88 : 617.82 = 401.55 : x
  2. Step 2: Convert to fraction form
    411.88/617.82 = 401.55/x
  3. Step 3: Cross multiply
    411.88x = 617.82 × 401.55
  4. Step 4: Simplify right side
    411.88x = 248,083.61
  5. Step 5: Solve for x
    x = 248,083.61/411.88
  6. Step 6: Final answer
    x = 602.33

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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.