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Finding the Fourth Proportional to 606.43, 909.90 and 411.65

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Solution

The fourth proportional to 606.43, 909.90 and 411.65 is: 617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.43 : 909.90 = 411.65 : x
  2. Step 2: Convert to fraction form
    606.43/909.90 = 411.65/x
  3. Step 3: Cross multiply
    606.43x = 909.90 × 411.65
  4. Step 4: Simplify right side
    606.43x = 374,560.34
  5. Step 5: Solve for x
    x = 374,560.34/606.43
  6. Step 6: Final answer
    x = 617.65

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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.