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Finding the Fourth Proportional to 659.26, 989.49 and 334.87

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Solution

The fourth proportional to 659.26, 989.49 and 334.87 is: 502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.26 : 989.49 = 334.87 : x
  2. Step 2: Convert to fraction form
    659.26/989.49 = 334.87/x
  3. Step 3: Cross multiply
    659.26x = 989.49 × 334.87
  4. Step 4: Simplify right side
    659.26x = 331,350.52
  5. Step 5: Solve for x
    x = 331,350.52/659.26
  6. Step 6: Final answer
    x = 502.61

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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.