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Finding the Fourth Proportional to 363.60, 544.03 and 295.25

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Solution

The fourth proportional to 363.60, 544.03 and 295.25 is: 441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.60 : 544.03 = 295.25 : x
  2. Step 2: Convert to fraction form
    363.60/544.03 = 295.25/x
  3. Step 3: Cross multiply
    363.60x = 544.03 × 295.25
  4. Step 4: Simplify right side
    363.60x = 160,625.48
  5. Step 5: Solve for x
    x = 160,625.48/363.60
  6. Step 6: Final answer
    x = 441.76

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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.