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Finding the Fourth Proportional to 538.56, 806.40 and 293.94

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Solution

The fourth proportional to 538.56, 806.40 and 293.94 is: 440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.56 : 806.40 = 293.94 : x
  2. Step 2: Convert to fraction form
    538.56/806.40 = 293.94/x
  3. Step 3: Cross multiply
    538.56x = 806.40 × 293.94
  4. Step 4: Simplify right side
    538.56x = 237,033.22
  5. Step 5: Solve for x
    x = 237,033.22/538.56
  6. Step 6: Final answer
    x = 440.12

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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.