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Finding the Fourth Proportional to 606.80, 909.08 and 414.16

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Solution

The fourth proportional to 606.80, 909.08 and 414.16 is: 620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.80 : 909.08 = 414.16 : x
  2. Step 2: Convert to fraction form
    606.80/909.08 = 414.16/x
  3. Step 3: Cross multiply
    606.80x = 909.08 × 414.16
  4. Step 4: Simplify right side
    606.80x = 376,504.57
  5. Step 5: Solve for x
    x = 376,504.57/606.80
  6. Step 6: Final answer
    x = 620.48

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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.