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Finding the Fourth Proportional to 664.61, 917.29 and 415.73

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Solution

The fourth proportional to 664.61, 917.29 and 415.73 is: 573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.61 : 917.29 = 415.73 : x
  2. Step 2: Convert to fraction form
    664.61/917.29 = 415.73/x
  3. Step 3: Cross multiply
    664.61x = 917.29 × 415.73
  4. Step 4: Simplify right side
    664.61x = 381,347.78
  5. Step 5: Solve for x
    x = 381,347.78/664.61
  6. Step 6: Final answer
    x = 573.80

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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.