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Finding the Fourth Proportional to 386.83, 533.83 and 212.17

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Solution

The fourth proportional to 386.83, 533.83 and 212.17 is: 292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.83 : 533.83 = 212.17 : x
  2. Step 2: Convert to fraction form
    386.83/533.83 = 212.17/x
  3. Step 3: Cross multiply
    386.83x = 533.83 × 212.17
  4. Step 4: Simplify right side
    386.83x = 113,262.71
  5. Step 5: Solve for x
    x = 113,262.71/386.83
  6. Step 6: Final answer
    x = 292.80

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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.