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Finding the Fourth Proportional to 664.77, 917.31 and 385.11

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Solution

The fourth proportional to 664.77, 917.31 and 385.11 is: 531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.77 : 917.31 = 385.11 : x
  2. Step 2: Convert to fraction form
    664.77/917.31 = 385.11/x
  3. Step 3: Cross multiply
    664.77x = 917.31 × 385.11
  4. Step 4: Simplify right side
    664.77x = 353,265.25
  5. Step 5: Solve for x
    x = 353,265.25/664.77
  6. Step 6: Final answer
    x = 531.41

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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.