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Finding the Fourth Proportional to 363.78, 544.95 and 299.70

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Solution

The fourth proportional to 363.78, 544.95 and 299.70 is: 448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.78 : 544.95 = 299.70 : x
  2. Step 2: Convert to fraction form
    363.78/544.95 = 299.70/x
  3. Step 3: Cross multiply
    363.78x = 544.95 × 299.70
  4. Step 4: Simplify right side
    363.78x = 163,321.52
  5. Step 5: Solve for x
    x = 163,321.52/363.78
  6. Step 6: Final answer
    x = 448.96

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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.