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Finding the Fourth Proportional to 386.42, 533.26 and 211.77

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Solution

The fourth proportional to 386.42, 533.26 and 211.77 is: 292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.42 : 533.26 = 211.77 : x
  2. Step 2: Convert to fraction form
    386.42/533.26 = 211.77/x
  3. Step 3: Cross multiply
    386.42x = 533.26 × 211.77
  4. Step 4: Simplify right side
    386.42x = 112,925.27
  5. Step 5: Solve for x
    x = 112,925.27/386.42
  6. Step 6: Final answer
    x = 292.24

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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.