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Finding the Fourth Proportional to 388.72, 536.44 and 222.96

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Solution

The fourth proportional to 388.72, 536.44 and 222.96 is: 307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.72 : 536.44 = 222.96 : x
  2. Step 2: Convert to fraction form
    388.72/536.44 = 222.96/x
  3. Step 3: Cross multiply
    388.72x = 536.44 × 222.96
  4. Step 4: Simplify right side
    388.72x = 119,604.66
  5. Step 5: Solve for x
    x = 119,604.66/388.72
  6. Step 6: Final answer
    x = 307.69

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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.