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Finding the Fourth Proportional to 667.98, 921.78 and 388.23

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Solution

The fourth proportional to 667.98, 921.78 and 388.23 is: 535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.98 : 921.78 = 388.23 : x
  2. Step 2: Convert to fraction form
    667.98/921.78 = 388.23/x
  3. Step 3: Cross multiply
    667.98x = 921.78 × 388.23
  4. Step 4: Simplify right side
    667.98x = 357,862.65
  5. Step 5: Solve for x
    x = 357,862.65/667.98
  6. Step 6: Final answer
    x = 535.74

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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.