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Finding the Fourth Proportional to 664.31, 916.79 and 369.61

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Solution

The fourth proportional to 664.31, 916.79 and 369.61 is: 510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.31 : 916.79 = 369.61 : x
  2. Step 2: Convert to fraction form
    664.31/916.79 = 369.61/x
  3. Step 3: Cross multiply
    664.31x = 916.79 × 369.61
  4. Step 4: Simplify right side
    664.31x = 338,850.61
  5. Step 5: Solve for x
    x = 338,850.61/664.31
  6. Step 6: Final answer
    x = 510.08

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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.