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Finding the Fourth Proportional to 606.81, 908.48 and 461.15

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Solution

The fourth proportional to 606.81, 908.48 and 461.15 is: 690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.81 : 908.48 = 461.15 : x
  2. Step 2: Convert to fraction form
    606.81/908.48 = 461.15/x
  3. Step 3: Cross multiply
    606.81x = 908.48 × 461.15
  4. Step 4: Simplify right side
    606.81x = 418,945.36
  5. Step 5: Solve for x
    x = 418,945.36/606.81
  6. Step 6: Final answer
    x = 690.41

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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.