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Finding the Fourth Proportional to 613.97, 921 and 203.09

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Solution

The fourth proportional to 613.97, 921 and 203.09 is: 304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.97 : 921 = 203.09 : x
  2. Step 2: Convert to fraction form
    613.97/921 = 203.09/x
  3. Step 3: Cross multiply
    613.97x = 921 × 203.09
  4. Step 4: Simplify right side
    613.97x = 187,045.89
  5. Step 5: Solve for x
    x = 187,045.89/613.97
  6. Step 6: Final answer
    x = 304.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.