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Finding the Fourth Proportional to 659.30, 988.06 and 381.79

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Solution

The fourth proportional to 659.30, 988.06 and 381.79 is: 572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.30 : 988.06 = 381.79 : x
  2. Step 2: Convert to fraction form
    659.30/988.06 = 381.79/x
  3. Step 3: Cross multiply
    659.30x = 988.06 × 381.79
  4. Step 4: Simplify right side
    659.30x = 377,231.43
  5. Step 5: Solve for x
    x = 377,231.43/659.30
  6. Step 6: Final answer
    x = 572.17

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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.