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Finding the Fourth Proportional to 505.38, 757.59 and 180.57

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Solution

The fourth proportional to 505.38, 757.59 and 180.57 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.38 : 757.59 = 180.57 : x
  2. Step 2: Convert to fraction form
    505.38/757.59 = 180.57/x
  3. Step 3: Cross multiply
    505.38x = 757.59 × 180.57
  4. Step 4: Simplify right side
    505.38x = 136,798.03
  5. Step 5: Solve for x
    x = 136,798.03/505.38
  6. Step 6: Final answer
    x = 270.68

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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.