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Finding the Fourth Proportional to 606.07, 834.26 and 522.24

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Solution

The fourth proportional to 606.07, 834.26 and 522.24 is: 718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.07 : 834.26 = 522.24 : x
  2. Step 2: Convert to fraction form
    606.07/834.26 = 522.24/x
  3. Step 3: Cross multiply
    606.07x = 834.26 × 522.24
  4. Step 4: Simplify right side
    606.07x = 435,683.94
  5. Step 5: Solve for x
    x = 435,683.94/606.07
  6. Step 6: Final answer
    x = 718.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.