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Finding the Fourth Proportional to 545.13, 816.89 and 300.92

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Solution

The fourth proportional to 545.13, 816.89 and 300.92 is: 450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.13 : 816.89 = 300.92 : x
  2. Step 2: Convert to fraction form
    545.13/816.89 = 300.92/x
  3. Step 3: Cross multiply
    545.13x = 816.89 × 300.92
  4. Step 4: Simplify right side
    545.13x = 245,812.95
  5. Step 5: Solve for x
    x = 245,812.95/545.13
  6. Step 6: Final answer
    x = 450.93

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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.