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Finding the Fourth Proportional to 357.35, 493.36 and 226.53

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Solution

The fourth proportional to 357.35, 493.36 and 226.53 is: 312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.35 : 493.36 = 226.53 : x
  2. Step 2: Convert to fraction form
    357.35/493.36 = 226.53/x
  3. Step 3: Cross multiply
    357.35x = 493.36 × 226.53
  4. Step 4: Simplify right side
    357.35x = 111,760.27
  5. Step 5: Solve for x
    x = 111,760.27/357.35
  6. Step 6: Final answer
    x = 312.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.