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Finding the Fourth Proportional to 545.36, 816.21 and 480.56

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Solution

The fourth proportional to 545.36, 816.21 and 480.56 is: 719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.36 : 816.21 = 480.56 : x
  2. Step 2: Convert to fraction form
    545.36/816.21 = 480.56/x
  3. Step 3: Cross multiply
    545.36x = 816.21 × 480.56
  4. Step 4: Simplify right side
    545.36x = 392,233.80
  5. Step 5: Solve for x
    x = 392,233.80/545.36
  6. Step 6: Final answer
    x = 719.23

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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.