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Finding the Fourth Proportional to 363.87, 545.45 and 299.07

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Solution

The fourth proportional to 363.87, 545.45 and 299.07 is: 448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.87 : 545.45 = 299.07 : x
  2. Step 2: Convert to fraction form
    363.87/545.45 = 299.07/x
  3. Step 3: Cross multiply
    363.87x = 545.45 × 299.07
  4. Step 4: Simplify right side
    363.87x = 163,126.24
  5. Step 5: Solve for x
    x = 163,126.24/363.87
  6. Step 6: Final answer
    x = 448.31

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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.