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Finding the Fourth Proportional to 538.52, 806.52 and 264.80

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Solution

The fourth proportional to 538.52, 806.52 and 264.80 is: 396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.52 : 806.52 = 264.80 : x
  2. Step 2: Convert to fraction form
    538.52/806.52 = 264.80/x
  3. Step 3: Cross multiply
    538.52x = 806.52 × 264.80
  4. Step 4: Simplify right side
    538.52x = 213,566.50
  5. Step 5: Solve for x
    x = 213,566.50/538.52
  6. Step 6: Final answer
    x = 396.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.