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Finding the Fourth Proportional to 659.78, 988.81 and 269.66

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Solution

The fourth proportional to 659.78, 988.81 and 269.66 is: 404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.78 : 988.81 = 269.66 : x
  2. Step 2: Convert to fraction form
    659.78/988.81 = 269.66/x
  3. Step 3: Cross multiply
    659.78x = 988.81 × 269.66
  4. Step 4: Simplify right side
    659.78x = 266,644.30
  5. Step 5: Solve for x
    x = 266,644.30/659.78
  6. Step 6: Final answer
    x = 404.14

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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.