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Finding the Fourth Proportional to 382.58, 573.33 and 199.59

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Solution

The fourth proportional to 382.58, 573.33 and 199.59 is: 299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.58 : 573.33 = 199.59 : x
  2. Step 2: Convert to fraction form
    382.58/573.33 = 199.59/x
  3. Step 3: Cross multiply
    382.58x = 573.33 × 199.59
  4. Step 4: Simplify right side
    382.58x = 114,429.50
  5. Step 5: Solve for x
    x = 114,429.50/382.58
  6. Step 6: Final answer
    x = 299.10

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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.