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Finding the Fourth Proportional to 626.73, 865.19 and 417.26

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Solution

The fourth proportional to 626.73, 865.19 and 417.26 is: 576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.73 : 865.19 = 417.26 : x
  2. Step 2: Convert to fraction form
    626.73/865.19 = 417.26/x
  3. Step 3: Cross multiply
    626.73x = 865.19 × 417.26
  4. Step 4: Simplify right side
    626.73x = 361,004.85
  5. Step 5: Solve for x
    x = 361,004.85/626.73
  6. Step 6: Final answer
    x = 576.01

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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.