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Finding the Fourth Proportional to 388.46, 536.06 and 213.80

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Solution

The fourth proportional to 388.46, 536.06 and 213.80 is: 295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.46 : 536.06 = 213.80 : x
  2. Step 2: Convert to fraction form
    388.46/536.06 = 213.80/x
  3. Step 3: Cross multiply
    388.46x = 536.06 × 213.80
  4. Step 4: Simplify right side
    388.46x = 114,609.63
  5. Step 5: Solve for x
    x = 114,609.63/388.46
  6. Step 6: Final answer
    x = 295.04

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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.