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Finding the Fourth Proportional to 545.94, 819.32 and 328.86

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Solution

The fourth proportional to 545.94, 819.32 and 328.86 is: 493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.94 : 819.32 = 328.86 : x
  2. Step 2: Convert to fraction form
    545.94/819.32 = 328.86/x
  3. Step 3: Cross multiply
    545.94x = 819.32 × 328.86
  4. Step 4: Simplify right side
    545.94x = 269,439.93
  5. Step 5: Solve for x
    x = 269,439.93/545.94
  6. Step 6: Final answer
    x = 493.53

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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.