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Finding the Fourth Proportional to 668.18, 921.01 and 471.38

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Solution

The fourth proportional to 668.18, 921.01 and 471.38 is: 649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.18 : 921.01 = 471.38 : x
  2. Step 2: Convert to fraction form
    668.18/921.01 = 471.38/x
  3. Step 3: Cross multiply
    668.18x = 921.01 × 471.38
  4. Step 4: Simplify right side
    668.18x = 434,145.69
  5. Step 5: Solve for x
    x = 434,145.69/668.18
  6. Step 6: Final answer
    x = 649.74

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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.