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Finding the Fourth Proportional to 661.30, 991.35 and 271.21

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Solution

The fourth proportional to 661.30, 991.35 and 271.21 is: 406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.30 : 991.35 = 271.21 : x
  2. Step 2: Convert to fraction form
    661.30/991.35 = 271.21/x
  3. Step 3: Cross multiply
    661.30x = 991.35 × 271.21
  4. Step 4: Simplify right side
    661.30x = 268,864.03
  5. Step 5: Solve for x
    x = 268,864.03/661.30
  6. Step 6: Final answer
    x = 406.57

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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.