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Finding the Fourth Proportional to 664.01, 916.38 and 369.37

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Solution

The fourth proportional to 664.01, 916.38 and 369.37 is: 509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.01 : 916.38 = 369.37 : x
  2. Step 2: Convert to fraction form
    664.01/916.38 = 369.37/x
  3. Step 3: Cross multiply
    664.01x = 916.38 × 369.37
  4. Step 4: Simplify right side
    664.01x = 338,483.28
  5. Step 5: Solve for x
    x = 338,483.28/664.01
  6. Step 6: Final answer
    x = 509.76

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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.