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Finding the Fourth Proportional to 415.15, 617.82 and 401.31

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Solution

The fourth proportional to 415.15, 617.82 and 401.31 is: 597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.15 : 617.82 = 401.31 : x
  2. Step 2: Convert to fraction form
    415.15/617.82 = 401.31/x
  3. Step 3: Cross multiply
    415.15x = 617.82 × 401.31
  4. Step 4: Simplify right side
    415.15x = 247,935.80
  5. Step 5: Solve for x
    x = 247,935.80/415.15
  6. Step 6: Final answer
    x = 597.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.