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Finding the Fourth Proportional to 664.43, 916.97 and 415.98

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Solution

The fourth proportional to 664.43, 916.97 and 415.98 is: 574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.43 : 916.97 = 415.98 : x
  2. Step 2: Convert to fraction form
    664.43/916.97 = 415.98/x
  3. Step 3: Cross multiply
    664.43x = 916.97 × 415.98
  4. Step 4: Simplify right side
    664.43x = 381,439.10
  5. Step 5: Solve for x
    x = 381,439.10/664.43
  6. Step 6: Final answer
    x = 574.09

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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.