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Finding the Fourth Proportional to 386.32, 533.13 and 211.67

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Solution

The fourth proportional to 386.32, 533.13 and 211.67 is: 292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.32 : 533.13 = 211.67 : x
  2. Step 2: Convert to fraction form
    386.32/533.13 = 211.67/x
  3. Step 3: Cross multiply
    386.32x = 533.13 × 211.67
  4. Step 4: Simplify right side
    386.32x = 112,844.96
  5. Step 5: Solve for x
    x = 112,844.96/386.32
  6. Step 6: Final answer
    x = 292.10

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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.