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Finding the Fourth Proportional to 363.69, 544.93 and 295.25

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Solution

The fourth proportional to 363.69, 544.93 and 295.25 is: 442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.69 : 544.93 = 295.25 : x
  2. Step 2: Convert to fraction form
    363.69/544.93 = 295.25/x
  3. Step 3: Cross multiply
    363.69x = 544.93 × 295.25
  4. Step 4: Simplify right side
    363.69x = 160,887.12
  5. Step 5: Solve for x
    x = 160,887.12/363.69
  6. Step 6: Final answer
    x = 442.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.