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Finding the Fourth Proportional to 386, 532.69 and 211.36

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Solution

The fourth proportional to 386, 532.69 and 211.36 is: 291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386 : 532.69 = 211.36 : x
  2. Step 2: Convert to fraction form
    386/532.69 = 211.36/x
  3. Step 3: Cross multiply
    386x = 532.69 × 211.36
  4. Step 4: Simplify right side
    386x = 112,589.36
  5. Step 5: Solve for x
    x = 112,589.36/386
  6. Step 6: Final answer
    x = 291.68

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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.