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Finding the Fourth Proportional to 545.11, 817.63 and 220.25

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Solution

The fourth proportional to 545.11, 817.63 and 220.25 is: 330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.11 : 817.63 = 220.25 : x
  2. Step 2: Convert to fraction form
    545.11/817.63 = 220.25/x
  3. Step 3: Cross multiply
    545.11x = 817.63 × 220.25
  4. Step 4: Simplify right side
    545.11x = 180,083.01
  5. Step 5: Solve for x
    x = 180,083.01/545.11
  6. Step 6: Final answer
    x = 330.36

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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.