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Finding the Fourth Proportional to 386.26, 533.74 and 292.84

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Solution

The fourth proportional to 386.26, 533.74 and 292.84 is: 404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.26 : 533.74 = 292.84 : x
  2. Step 2: Convert to fraction form
    386.26/533.74 = 292.84/x
  3. Step 3: Cross multiply
    386.26x = 533.74 × 292.84
  4. Step 4: Simplify right side
    386.26x = 156,298.90
  5. Step 5: Solve for x
    x = 156,298.90/386.26
  6. Step 6: Final answer
    x = 404.65

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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.