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Finding the Fourth Proportional to 664.54, 917.09 and 369.90

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Solution

The fourth proportional to 664.54, 917.09 and 369.90 is: 510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.54 : 917.09 = 369.90 : x
  2. Step 2: Convert to fraction form
    664.54/917.09 = 369.90/x
  3. Step 3: Cross multiply
    664.54x = 917.09 × 369.90
  4. Step 4: Simplify right side
    664.54x = 339,231.13
  5. Step 5: Solve for x
    x = 339,231.13/664.54
  6. Step 6: Final answer
    x = 510.48

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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.