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Finding the Fourth Proportional to 659.72, 989.99 and 334.91

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Solution

The fourth proportional to 659.72, 989.99 and 334.91 is: 502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.72 : 989.99 = 334.91 : x
  2. Step 2: Convert to fraction form
    659.72/989.99 = 334.91/x
  3. Step 3: Cross multiply
    659.72x = 989.99 × 334.91
  4. Step 4: Simplify right side
    659.72x = 331,555.88
  5. Step 5: Solve for x
    x = 331,555.88/659.72
  6. Step 6: Final answer
    x = 502.57

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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.