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Finding the Fourth Proportional to 545.45, 817.49 and 271.05

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Solution

The fourth proportional to 545.45, 817.49 and 271.05 is: 406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.45 : 817.49 = 271.05 : x
  2. Step 2: Convert to fraction form
    545.45/817.49 = 271.05/x
  3. Step 3: Cross multiply
    545.45x = 817.49 × 271.05
  4. Step 4: Simplify right side
    545.45x = 221,581.34
  5. Step 5: Solve for x
    x = 221,581.34/545.45
  6. Step 6: Final answer
    x = 406.23

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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.