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Finding the Fourth Proportional to 609.26, 913.01 and 471.66

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Solution

The fourth proportional to 609.26, 913.01 and 471.66 is: 706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.26 : 913.01 = 471.66 : x
  2. Step 2: Convert to fraction form
    609.26/913.01 = 471.66/x
  3. Step 3: Cross multiply
    609.26x = 913.01 × 471.66
  4. Step 4: Simplify right side
    609.26x = 430,624.51
  5. Step 5: Solve for x
    x = 430,624.51/609.26
  6. Step 6: Final answer
    x = 706.81

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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.