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Finding the Fourth Proportional to 545.76, 820.24 and 329.76

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Solution

The fourth proportional to 545.76, 820.24 and 329.76 is: 495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 820.24 = 329.76 : x
  2. Step 2: Convert to fraction form
    545.76/820.24 = 329.76/x
  3. Step 3: Cross multiply
    545.76x = 820.24 × 329.76
  4. Step 4: Simplify right side
    545.76x = 270,482.34
  5. Step 5: Solve for x
    x = 270,482.34/545.76
  6. Step 6: Final answer
    x = 495.61

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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.