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Finding the Fourth Proportional to 659.88, 990.12 and 335.08

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Solution

The fourth proportional to 659.88, 990.12 and 335.08 is: 502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.88 : 990.12 = 335.08 : x
  2. Step 2: Convert to fraction form
    659.88/990.12 = 335.08/x
  3. Step 3: Cross multiply
    659.88x = 990.12 × 335.08
  4. Step 4: Simplify right side
    659.88x = 331,769.41
  5. Step 5: Solve for x
    x = 331,769.41/659.88
  6. Step 6: Final answer
    x = 502.77

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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.