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Finding the Fourth Proportional to 545.34, 819.27 and 301.98

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Solution

The fourth proportional to 545.34, 819.27 and 301.98 is: 453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.34 : 819.27 = 301.98 : x
  2. Step 2: Convert to fraction form
    545.34/819.27 = 301.98/x
  3. Step 3: Cross multiply
    545.34x = 819.27 × 301.98
  4. Step 4: Simplify right side
    545.34x = 247,403.15
  5. Step 5: Solve for x
    x = 247,403.15/545.34
  6. Step 6: Final answer
    x = 453.67

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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.