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Finding the Fourth Proportional to 537.91, 807.14 and 263.99

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Solution

The fourth proportional to 537.91, 807.14 and 263.99 is: 396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.91 : 807.14 = 263.99 : x
  2. Step 2: Convert to fraction form
    537.91/807.14 = 263.99/x
  3. Step 3: Cross multiply
    537.91x = 807.14 × 263.99
  4. Step 4: Simplify right side
    537.91x = 213,079.57
  5. Step 5: Solve for x
    x = 213,079.57/537.91
  6. Step 6: Final answer
    x = 396.13

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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.