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Finding the Fourth Proportional to 661.69, 991.15 and 401.55

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Solution

The fourth proportional to 661.69, 991.15 and 401.55 is: 601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.69 : 991.15 = 401.55 : x
  2. Step 2: Convert to fraction form
    661.69/991.15 = 401.55/x
  3. Step 3: Cross multiply
    661.69x = 991.15 × 401.55
  4. Step 4: Simplify right side
    661.69x = 397,996.28
  5. Step 5: Solve for x
    x = 397,996.28/661.69
  6. Step 6: Final answer
    x = 601.48

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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.