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Finding the Fourth Proportional to 664.03, 916.67 and 415.71

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Solution

The fourth proportional to 664.03, 916.67 and 415.71 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.03 : 916.67 = 415.71 : x
  2. Step 2: Convert to fraction form
    664.03/916.67 = 415.71/x
  3. Step 3: Cross multiply
    664.03x = 916.67 × 415.71
  4. Step 4: Simplify right side
    664.03x = 381,062.22
  5. Step 5: Solve for x
    x = 381,062.22/664.03
  6. Step 6: Final answer
    x = 573.87

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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.