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Finding the Fourth Proportional to 387.69, 535.03 and 221.92

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Solution

The fourth proportional to 387.69, 535.03 and 221.92 is: 306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.69 : 535.03 = 221.92 : x
  2. Step 2: Convert to fraction form
    387.69/535.03 = 221.92/x
  3. Step 3: Cross multiply
    387.69x = 535.03 × 221.92
  4. Step 4: Simplify right side
    387.69x = 118,733.86
  5. Step 5: Solve for x
    x = 118,733.86/387.69
  6. Step 6: Final answer
    x = 306.26

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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.