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Finding the Fourth Proportional to 664.93, 917.49 and 385.18

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Solution

The fourth proportional to 664.93, 917.49 and 385.18 is: 531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.93 : 917.49 = 385.18 : x
  2. Step 2: Convert to fraction form
    664.93/917.49 = 385.18/x
  3. Step 3: Cross multiply
    664.93x = 917.49 × 385.18
  4. Step 4: Simplify right side
    664.93x = 353,398.80
  5. Step 5: Solve for x
    x = 353,398.80/664.93
  6. Step 6: Final answer
    x = 531.48

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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.