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Finding the Fourth Proportional to 667.54, 921.62 and 500.41

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Solution

The fourth proportional to 667.54, 921.62 and 500.41 is: 690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.54 : 921.62 = 500.41 : x
  2. Step 2: Convert to fraction form
    667.54/921.62 = 500.41/x
  3. Step 3: Cross multiply
    667.54x = 921.62 × 500.41
  4. Step 4: Simplify right side
    667.54x = 461,180.75
  5. Step 5: Solve for x
    x = 461,180.75/667.54
  6. Step 6: Final answer
    x = 690.87

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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.