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Finding the Fourth Proportional to 386.77, 533.73 and 212.08

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Solution

The fourth proportional to 386.77, 533.73 and 212.08 is: 292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.77 : 533.73 = 212.08 : x
  2. Step 2: Convert to fraction form
    386.77/533.73 = 212.08/x
  3. Step 3: Cross multiply
    386.77x = 533.73 × 212.08
  4. Step 4: Simplify right side
    386.77x = 113,193.46
  5. Step 5: Solve for x
    x = 113,193.46/386.77
  6. Step 6: Final answer
    x = 292.66

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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.