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Finding the Fourth Proportional to 382.18, 575.33 and 295.99

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Solution

The fourth proportional to 382.18, 575.33 and 295.99 is: 445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.18 : 575.33 = 295.99 : x
  2. Step 2: Convert to fraction form
    382.18/575.33 = 295.99/x
  3. Step 3: Cross multiply
    382.18x = 575.33 × 295.99
  4. Step 4: Simplify right side
    382.18x = 170,291.93
  5. Step 5: Solve for x
    x = 170,291.93/382.18
  6. Step 6: Final answer
    x = 445.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.