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Finding the Fourth Proportional to 606.68, 909.96 and 329.12

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Solution

The fourth proportional to 606.68, 909.96 and 329.12 is: 493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.68 : 909.96 = 329.12 : x
  2. Step 2: Convert to fraction form
    606.68/909.96 = 329.12/x
  3. Step 3: Cross multiply
    606.68x = 909.96 × 329.12
  4. Step 4: Simplify right side
    606.68x = 299,486.04
  5. Step 5: Solve for x
    x = 299,486.04/606.68
  6. Step 6: Final answer
    x = 493.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.