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Finding the Fourth Proportional to 364.36, 544.29 and 327.74

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Solution

The fourth proportional to 364.36, 544.29 and 327.74 is: 489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.36 : 544.29 = 327.74 : x
  2. Step 2: Convert to fraction form
    364.36/544.29 = 327.74/x
  3. Step 3: Cross multiply
    364.36x = 544.29 × 327.74
  4. Step 4: Simplify right side
    364.36x = 178,386.97
  5. Step 5: Solve for x
    x = 178,386.97/364.36
  6. Step 6: Final answer
    x = 489.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.