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Finding the Fourth Proportional to 386.49, 533.34 and 211.83

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Solution

The fourth proportional to 386.49, 533.34 and 211.83 is: 292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.49 : 533.34 = 211.83 : x
  2. Step 2: Convert to fraction form
    386.49/533.34 = 211.83/x
  3. Step 3: Cross multiply
    386.49x = 533.34 × 211.83
  4. Step 4: Simplify right side
    386.49x = 112,977.41
  5. Step 5: Solve for x
    x = 112,977.41/386.49
  6. Step 6: Final answer
    x = 292.32

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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.