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Finding the Fourth Proportional to 364.75, 545.76 and 218.57

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Solution

The fourth proportional to 364.75, 545.76 and 218.57 is: 327.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.75 : 545.76 = 218.57 : x
  2. Step 2: Convert to fraction form
    364.75/545.76 = 218.57/x
  3. Step 3: Cross multiply
    364.75x = 545.76 × 218.57
  4. Step 4: Simplify right side
    364.75x = 119,289.25
  5. Step 5: Solve for x
    x = 119,289.25/364.75
  6. Step 6: Final answer
    x = 327.04

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