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Finding the Fourth Proportional to 697.59, 1,046.24 and 204

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Solution

The fourth proportional to 697.59, 1,046.24 and 204 is: 305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.59 : 1,046.24 = 204 : x
  2. Step 2: Convert to fraction form
    697.59/1,046.24 = 204/x
  3. Step 3: Cross multiply
    697.59x = 1,046.24 × 204
  4. Step 4: Simplify right side
    697.59x = 213,431.94
  5. Step 5: Solve for x
    x = 213,431.94/697.59
  6. Step 6: Final answer
    x = 305.96

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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.