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Finding the Fourth Proportional to 382.99, 573.72 and 177.28

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Solution

The fourth proportional to 382.99, 573.72 and 177.28 is: 265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.99 : 573.72 = 177.28 : x
  2. Step 2: Convert to fraction form
    382.99/573.72 = 177.28/x
  3. Step 3: Cross multiply
    382.99x = 573.72 × 177.28
  4. Step 4: Simplify right side
    382.99x = 101,709.08
  5. Step 5: Solve for x
    x = 101,709.08/382.99
  6. Step 6: Final answer
    x = 265.57

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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.