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Finding the Fourth Proportional to 681.10, 939.68 and 471.20

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Solution

The fourth proportional to 681.10, 939.68 and 471.20 is: 650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.10 : 939.68 = 471.20 : x
  2. Step 2: Convert to fraction form
    681.10/939.68 = 471.20/x
  3. Step 3: Cross multiply
    681.10x = 939.68 × 471.20
  4. Step 4: Simplify right side
    681.10x = 442,770.16
  5. Step 5: Solve for x
    x = 442,770.16/681.10
  6. Step 6: Final answer
    x = 650.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.