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Finding the Fourth Proportional to 664.36, 916.82 and 369.66

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Solution

The fourth proportional to 664.36, 916.82 and 369.66 is: 510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.36 : 916.82 = 369.66 : x
  2. Step 2: Convert to fraction form
    664.36/916.82 = 369.66/x
  3. Step 3: Cross multiply
    664.36x = 916.82 × 369.66
  4. Step 4: Simplify right side
    664.36x = 338,911.68
  5. Step 5: Solve for x
    x = 338,911.68/664.36
  6. Step 6: Final answer
    x = 510.13

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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.