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Finding the Fourth Proportional to 505.12, 757.60 and 216.60

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Solution

The fourth proportional to 505.12, 757.60 and 216.60 is: 324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.12 : 757.60 = 216.60 : x
  2. Step 2: Convert to fraction form
    505.12/757.60 = 216.60/x
  3. Step 3: Cross multiply
    505.12x = 757.60 × 216.60
  4. Step 4: Simplify right side
    505.12x = 164,096.16
  5. Step 5: Solve for x
    x = 164,096.16/505.12
  6. Step 6: Final answer
    x = 324.87

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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.