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Finding the Fourth Proportional to 659.52, 910.18 and 379.82

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Solution

The fourth proportional to 659.52, 910.18 and 379.82 is: 524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.52 : 910.18 = 379.82 : x
  2. Step 2: Convert to fraction form
    659.52/910.18 = 379.82/x
  3. Step 3: Cross multiply
    659.52x = 910.18 × 379.82
  4. Step 4: Simplify right side
    659.52x = 345,704.57
  5. Step 5: Solve for x
    x = 345,704.57/659.52
  6. Step 6: Final answer
    x = 524.18

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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.