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Finding the Fourth Proportional to 659.16, 909.57 and 379.40

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Solution

The fourth proportional to 659.16, 909.57 and 379.40 is: 523.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.16 : 909.57 = 379.40 : x
  2. Step 2: Convert to fraction form
    659.16/909.57 = 379.40/x
  3. Step 3: Cross multiply
    659.16x = 909.57 × 379.40
  4. Step 4: Simplify right side
    659.16x = 345,086.31
  5. Step 5: Solve for x
    x = 345,086.31/659.16
  6. Step 6: Final answer
    x = 523.52

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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.