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Finding the Fourth Proportional to 505.36, 758.19 and 231.22

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Solution

The fourth proportional to 505.36, 758.19 and 231.22 is: 346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.36 : 758.19 = 231.22 : x
  2. Step 2: Convert to fraction form
    505.36/758.19 = 231.22/x
  3. Step 3: Cross multiply
    505.36x = 758.19 × 231.22
  4. Step 4: Simplify right side
    505.36x = 175,307.54
  5. Step 5: Solve for x
    x = 175,307.54/505.36
  6. Step 6: Final answer
    x = 346.90

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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.