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Finding the Fourth Proportional to 664.57, 917.09 and 369.83

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Solution

The fourth proportional to 664.57, 917.09 and 369.83 is: 510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.57 : 917.09 = 369.83 : x
  2. Step 2: Convert to fraction form
    664.57/917.09 = 369.83/x
  3. Step 3: Cross multiply
    664.57x = 917.09 × 369.83
  4. Step 4: Simplify right side
    664.57x = 339,169.23
  5. Step 5: Solve for x
    x = 339,169.23/664.57
  6. Step 6: Final answer
    x = 510.36

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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.