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Finding the Fourth Proportional to 664.26, 916.74 and 369.51

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Solution

The fourth proportional to 664.26, 916.74 and 369.51 is: 509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.26 : 916.74 = 369.51 : x
  2. Step 2: Convert to fraction form
    664.26/916.74 = 369.51/x
  3. Step 3: Cross multiply
    664.26x = 916.74 × 369.51
  4. Step 4: Simplify right side
    664.26x = 338,744.60
  5. Step 5: Solve for x
    x = 338,744.60/664.26
  6. Step 6: Final answer
    x = 509.96

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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.