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Finding the Fourth Proportional to 538.62, 806.27 and 294.41

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Solution

The fourth proportional to 538.62, 806.27 and 294.41 is: 440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.62 : 806.27 = 294.41 : x
  2. Step 2: Convert to fraction form
    538.62/806.27 = 294.41/x
  3. Step 3: Cross multiply
    538.62x = 806.27 × 294.41
  4. Step 4: Simplify right side
    538.62x = 237,368.45
  5. Step 5: Solve for x
    x = 237,368.45/538.62
  6. Step 6: Final answer
    x = 440.70

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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.