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Finding the Fourth Proportional to 668.80, 922.62 and 471.88

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Solution

The fourth proportional to 668.80, 922.62 and 471.88 is: 650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.80 : 922.62 = 471.88 : x
  2. Step 2: Convert to fraction form
    668.80/922.62 = 471.88/x
  3. Step 3: Cross multiply
    668.80x = 922.62 × 471.88
  4. Step 4: Simplify right side
    668.80x = 435,365.93
  5. Step 5: Solve for x
    x = 435,365.93/668.80
  6. Step 6: Final answer
    x = 650.97

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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.