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Finding the Fourth Proportional to 382.70, 573.71 and 177.17

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Solution

The fourth proportional to 382.70, 573.71 and 177.17 is: 265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.70 : 573.71 = 177.17 : x
  2. Step 2: Convert to fraction form
    382.70/573.71 = 177.17/x
  3. Step 3: Cross multiply
    382.70x = 573.71 × 177.17
  4. Step 4: Simplify right side
    382.70x = 101,640.45
  5. Step 5: Solve for x
    x = 101,640.45/382.70
  6. Step 6: Final answer
    x = 265.59

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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.