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Finding the Fourth Proportional to 357.60, 493.20 and 226.64

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Solution

The fourth proportional to 357.60, 493.20 and 226.64 is: 312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.60 : 493.20 = 226.64 : x
  2. Step 2: Convert to fraction form
    357.60/493.20 = 226.64/x
  3. Step 3: Cross multiply
    357.60x = 493.20 × 226.64
  4. Step 4: Simplify right side
    357.60x = 111,778.85
  5. Step 5: Solve for x
    x = 111,778.85/357.60
  6. Step 6: Final answer
    x = 312.58

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Why These Related Problems?

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