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Finding the Fourth Proportional to 538.21, 806.80 and 342.61

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Solution

The fourth proportional to 538.21, 806.80 and 342.61 is: 513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.21 : 806.80 = 342.61 : x
  2. Step 2: Convert to fraction form
    538.21/806.80 = 342.61/x
  3. Step 3: Cross multiply
    538.21x = 806.80 × 342.61
  4. Step 4: Simplify right side
    538.21x = 276,417.75
  5. Step 5: Solve for x
    x = 276,417.75/538.21
  6. Step 6: Final answer
    x = 513.59

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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.