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Finding the Fourth Proportional to 659.83, 989.78 and 269.83

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Solution

The fourth proportional to 659.83, 989.78 and 269.83 is: 404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.83 : 989.78 = 269.83 : x
  2. Step 2: Convert to fraction form
    659.83/989.78 = 269.83/x
  3. Step 3: Cross multiply
    659.83x = 989.78 × 269.83
  4. Step 4: Simplify right side
    659.83x = 267,072.34
  5. Step 5: Solve for x
    x = 267,072.34/659.83
  6. Step 6: Final answer
    x = 404.76

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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.