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Finding the Fourth Proportional to 664.10, 916.43 and 369.37

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Solution

The fourth proportional to 664.10, 916.43 and 369.37 is: 509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.10 : 916.43 = 369.37 : x
  2. Step 2: Convert to fraction form
    664.10/916.43 = 369.37/x
  3. Step 3: Cross multiply
    664.10x = 916.43 × 369.37
  4. Step 4: Simplify right side
    664.10x = 338,497.61
  5. Step 5: Solve for x
    x = 338,497.61/664.10
  6. Step 6: Final answer
    x = 509.71

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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.