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Finding the Fourth Proportional to 385.78, 532.37 and 211.12

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Solution

The fourth proportional to 385.78, 532.37 and 211.12 is: 291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.78 : 532.37 = 211.12 : x
  2. Step 2: Convert to fraction form
    385.78/532.37 = 211.12/x
  3. Step 3: Cross multiply
    385.78x = 532.37 × 211.12
  4. Step 4: Simplify right side
    385.78x = 112,393.95
  5. Step 5: Solve for x
    x = 112,393.95/385.78
  6. Step 6: Final answer
    x = 291.34

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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.