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Finding the Fourth Proportional to 664.67, 917.83 and 416.42

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Solution

The fourth proportional to 664.67, 917.83 and 416.42 is: 575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.67 : 917.83 = 416.42 : x
  2. Step 2: Convert to fraction form
    664.67/917.83 = 416.42/x
  3. Step 3: Cross multiply
    664.67x = 917.83 × 416.42
  4. Step 4: Simplify right side
    664.67x = 382,200.97
  5. Step 5: Solve for x
    x = 382,200.97/664.67
  6. Step 6: Final answer
    x = 575.02

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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.