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Finding the Fourth Proportional to 505.16, 757.84 and 231.26

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Solution

The fourth proportional to 505.16, 757.84 and 231.26 is: 346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.16 : 757.84 = 231.26 : x
  2. Step 2: Convert to fraction form
    505.16/757.84 = 231.26/x
  3. Step 3: Cross multiply
    505.16x = 757.84 × 231.26
  4. Step 4: Simplify right side
    505.16x = 175,258.08
  5. Step 5: Solve for x
    x = 175,258.08/505.16
  6. Step 6: Final answer
    x = 346.94

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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.