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Finding the Fourth Proportional to 386.17, 532.93 and 211.52

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Solution

The fourth proportional to 386.17, 532.93 and 211.52 is: 291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.17 : 532.93 = 211.52 : x
  2. Step 2: Convert to fraction form
    386.17/532.93 = 211.52/x
  3. Step 3: Cross multiply
    386.17x = 532.93 × 211.52
  4. Step 4: Simplify right side
    386.17x = 112,725.35
  5. Step 5: Solve for x
    x = 112,725.35/386.17
  6. Step 6: Final answer
    x = 291.91

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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.