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Finding the Fourth Proportional to 659.49, 909.92 and 379.80

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Solution

The fourth proportional to 659.49, 909.92 and 379.80 is: 524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.49 : 909.92 = 379.80 : x
  2. Step 2: Convert to fraction form
    659.49/909.92 = 379.80/x
  3. Step 3: Cross multiply
    659.49x = 909.92 × 379.80
  4. Step 4: Simplify right side
    659.49x = 345,583.07
  5. Step 5: Solve for x
    x = 345,583.07/659.49
  6. Step 6: Final answer
    x = 524.02

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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.