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Finding the Fourth Proportional to 659.41, 909.96 and 379.69

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Solution

The fourth proportional to 659.41, 909.96 and 379.69 is: 523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.41 : 909.96 = 379.69 : x
  2. Step 2: Convert to fraction form
    659.41/909.96 = 379.69/x
  3. Step 3: Cross multiply
    659.41x = 909.96 × 379.69
  4. Step 4: Simplify right side
    659.41x = 345,502.71
  5. Step 5: Solve for x
    x = 345,502.71/659.41
  6. Step 6: Final answer
    x = 523.96

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