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Finding the Fourth Proportional to 664.14, 916.44 and 369.36

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Solution

The fourth proportional to 664.14, 916.44 and 369.36 is: 509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.14 : 916.44 = 369.36 : x
  2. Step 2: Convert to fraction form
    664.14/916.44 = 369.36/x
  3. Step 3: Cross multiply
    664.14x = 916.44 × 369.36
  4. Step 4: Simplify right side
    664.14x = 338,496.28
  5. Step 5: Solve for x
    x = 338,496.28/664.14
  6. Step 6: Final answer
    x = 509.68

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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.