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Finding the Fourth Proportional to 664.25, 916.70 and 369.54

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Solution

The fourth proportional to 664.25, 916.70 and 369.54 is: 509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.25 : 916.70 = 369.54 : x
  2. Step 2: Convert to fraction form
    664.25/916.70 = 369.54/x
  3. Step 3: Cross multiply
    664.25x = 916.70 × 369.54
  4. Step 4: Simplify right side
    664.25x = 338,755.47
  5. Step 5: Solve for x
    x = 338,755.47/664.25
  6. Step 6: Final answer
    x = 509.99

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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.