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Finding the Fourth Proportional to 537.99, 805.77 and 342.99

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Solution

The fourth proportional to 537.99, 805.77 and 342.99 is: 513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.99 : 805.77 = 342.99 : x
  2. Step 2: Convert to fraction form
    537.99/805.77 = 342.99/x
  3. Step 3: Cross multiply
    537.99x = 805.77 × 342.99
  4. Step 4: Simplify right side
    537.99x = 276,371.05
  5. Step 5: Solve for x
    x = 276,371.05/537.99
  6. Step 6: Final answer
    x = 513.71

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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.