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Finding the Fourth Proportional to 386.42, 533.28 and 211.77

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Solution

The fourth proportional to 386.42, 533.28 and 211.77 is: 292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.42 : 533.28 = 211.77 : x
  2. Step 2: Convert to fraction form
    386.42/533.28 = 211.77/x
  3. Step 3: Cross multiply
    386.42x = 533.28 × 211.77
  4. Step 4: Simplify right side
    386.42x = 112,931.65
  5. Step 5: Solve for x
    x = 112,931.65/386.42
  6. Step 6: Final answer
    x = 292.25

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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.