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Finding the Fourth Proportional to 659.33, 988.89 and 220.61

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Solution

The fourth proportional to 659.33, 988.89 and 220.61 is: 330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.33 : 988.89 = 220.61 : x
  2. Step 2: Convert to fraction form
    659.33/988.89 = 220.61/x
  3. Step 3: Cross multiply
    659.33x = 988.89 × 220.61
  4. Step 4: Simplify right side
    659.33x = 218,159.02
  5. Step 5: Solve for x
    x = 218,159.02/659.33
  6. Step 6: Final answer
    x = 330.88

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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.