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Finding the Fourth Proportional to 659.24, 989.15 and 334.83

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Solution

The fourth proportional to 659.24, 989.15 and 334.83 is: 502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.24 : 989.15 = 334.83 : x
  2. Step 2: Convert to fraction form
    659.24/989.15 = 334.83/x
  3. Step 3: Cross multiply
    659.24x = 989.15 × 334.83
  4. Step 4: Simplify right side
    659.24x = 331,195.42
  5. Step 5: Solve for x
    x = 331,195.42/659.24
  6. Step 6: Final answer
    x = 502.39

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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.