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Finding the Fourth Proportional to 668.79, 922.01 and 471.96

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Solution

The fourth proportional to 668.79, 922.01 and 471.96 is: 650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.79 : 922.01 = 471.96 : x
  2. Step 2: Convert to fraction form
    668.79/922.01 = 471.96/x
  3. Step 3: Cross multiply
    668.79x = 922.01 × 471.96
  4. Step 4: Simplify right side
    668.79x = 435,149.48
  5. Step 5: Solve for x
    x = 435,149.48/668.79
  6. Step 6: Final answer
    x = 650.65

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Why These Related Problems?

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