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Finding the Fourth Proportional to 538.04, 806.42 and 294.78

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Solution

The fourth proportional to 538.04, 806.42 and 294.78 is: 441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.04 : 806.42 = 294.78 : x
  2. Step 2: Convert to fraction form
    538.04/806.42 = 294.78/x
  3. Step 3: Cross multiply
    538.04x = 806.42 × 294.78
  4. Step 4: Simplify right side
    538.04x = 237,716.49
  5. Step 5: Solve for x
    x = 237,716.49/538.04
  6. Step 6: Final answer
    x = 441.82

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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.