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Finding the Fourth Proportional to 538.62, 807.52 and 264.57

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Solution

The fourth proportional to 538.62, 807.52 and 264.57 is: 396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.62 : 807.52 = 264.57 : x
  2. Step 2: Convert to fraction form
    538.62/807.52 = 264.57/x
  3. Step 3: Cross multiply
    538.62x = 807.52 × 264.57
  4. Step 4: Simplify right side
    538.62x = 213,645.57
  5. Step 5: Solve for x
    x = 213,645.57/538.62
  6. Step 6: Final answer
    x = 396.65

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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.