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Finding the Fourth Proportional to 606.09, 908.46 and 461.51

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Solution

The fourth proportional to 606.09, 908.46 and 461.51 is: 691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.09 : 908.46 = 461.51 : x
  2. Step 2: Convert to fraction form
    606.09/908.46 = 461.51/x
  3. Step 3: Cross multiply
    606.09x = 908.46 × 461.51
  4. Step 4: Simplify right side
    606.09x = 419,263.37
  5. Step 5: Solve for x
    x = 419,263.37/606.09
  6. Step 6: Final answer
    x = 691.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.