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Finding the Fourth Proportional to 388.49, 536.09 and 213.84

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Solution

The fourth proportional to 388.49, 536.09 and 213.84 is: 295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.49 : 536.09 = 213.84 : x
  2. Step 2: Convert to fraction form
    388.49/536.09 = 213.84/x
  3. Step 3: Cross multiply
    388.49x = 536.09 × 213.84
  4. Step 4: Simplify right side
    388.49x = 114,637.49
  5. Step 5: Solve for x
    x = 114,637.49/388.49
  6. Step 6: Final answer
    x = 295.08

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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.