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Finding the Fourth Proportional to 664.25, 916.62 and 369.53

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Solution

The fourth proportional to 664.25, 916.62 and 369.53 is: 509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.25 : 916.62 = 369.53 : x
  2. Step 2: Convert to fraction form
    664.25/916.62 = 369.53/x
  3. Step 3: Cross multiply
    664.25x = 916.62 × 369.53
  4. Step 4: Simplify right side
    664.25x = 338,718.59
  5. Step 5: Solve for x
    x = 338,718.59/664.25
  6. Step 6: Final answer
    x = 509.93

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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.