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Finding the Fourth Proportional to 659.12, 909.51 and 379.30

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Solution

The fourth proportional to 659.12, 909.51 and 379.30 is: 523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.12 : 909.51 = 379.30 : x
  2. Step 2: Convert to fraction form
    659.12/909.51 = 379.30/x
  3. Step 3: Cross multiply
    659.12x = 909.51 × 379.30
  4. Step 4: Simplify right side
    659.12x = 344,977.14
  5. Step 5: Solve for x
    x = 344,977.14/659.12
  6. Step 6: Final answer
    x = 523.39

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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.