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Finding the Fourth Proportional to 659.50, 910.17 and 379.75

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Solution

The fourth proportional to 659.50, 910.17 and 379.75 is: 524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.50 : 910.17 = 379.75 : x
  2. Step 2: Convert to fraction form
    659.50/910.17 = 379.75/x
  3. Step 3: Cross multiply
    659.50x = 910.17 × 379.75
  4. Step 4: Simplify right side
    659.50x = 345,637.06
  5. Step 5: Solve for x
    x = 345,637.06/659.50
  6. Step 6: Final answer
    x = 524.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.