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Finding the Fourth Proportional to 606.83, 908.62 and 317.66

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Solution

The fourth proportional to 606.83, 908.62 and 317.66 is: 475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.83 : 908.62 = 317.66 : x
  2. Step 2: Convert to fraction form
    606.83/908.62 = 317.66/x
  3. Step 3: Cross multiply
    606.83x = 908.62 × 317.66
  4. Step 4: Simplify right side
    606.83x = 288,626.89
  5. Step 5: Solve for x
    x = 288,626.89/606.83
  6. Step 6: Final answer
    x = 475.63

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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.