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Finding the Fourth Proportional to 606.41, 909.24 and 411.65

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Solution

The fourth proportional to 606.41, 909.24 and 411.65 is: 617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.41 : 909.24 = 411.65 : x
  2. Step 2: Convert to fraction form
    606.41/909.24 = 411.65/x
  3. Step 3: Cross multiply
    606.41x = 909.24 × 411.65
  4. Step 4: Simplify right side
    606.41x = 374,284.10
  5. Step 5: Solve for x
    x = 374,284.10/606.41
  6. Step 6: Final answer
    x = 617.22

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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.