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Finding the Fourth Proportional to 364.01, 545.20 and 327.96

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Solution

The fourth proportional to 364.01, 545.20 and 327.96 is: 491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.01 : 545.20 = 327.96 : x
  2. Step 2: Convert to fraction form
    364.01/545.20 = 327.96/x
  3. Step 3: Cross multiply
    364.01x = 545.20 × 327.96
  4. Step 4: Simplify right side
    364.01x = 178,802.97
  5. Step 5: Solve for x
    x = 178,802.97/364.01
  6. Step 6: Final answer
    x = 491.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.