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Finding the Fourth Proportional to 387.45, 534.69 and 221.67

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Solution

The fourth proportional to 387.45, 534.69 and 221.67 is: 305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.45 : 534.69 = 221.67 : x
  2. Step 2: Convert to fraction form
    387.45/534.69 = 221.67/x
  3. Step 3: Cross multiply
    387.45x = 534.69 × 221.67
  4. Step 4: Simplify right side
    387.45x = 118,524.73
  5. Step 5: Solve for x
    x = 118,524.73/387.45
  6. Step 6: Final answer
    x = 305.91

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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.