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Finding the Fourth Proportional to 664.83, 917.48 and 366.09

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Solution

The fourth proportional to 664.83, 917.48 and 366.09 is: 505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.83 : 917.48 = 366.09 : x
  2. Step 2: Convert to fraction form
    664.83/917.48 = 366.09/x
  3. Step 3: Cross multiply
    664.83x = 917.48 × 366.09
  4. Step 4: Simplify right side
    664.83x = 335,880.25
  5. Step 5: Solve for x
    x = 335,880.25/664.83
  6. Step 6: Final answer
    x = 505.21

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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.