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Finding the Fourth Proportional to 538.40, 806.16 and 281.36

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Solution

The fourth proportional to 538.40, 806.16 and 281.36 is: 421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.40 : 806.16 = 281.36 : x
  2. Step 2: Convert to fraction form
    538.40/806.16 = 281.36/x
  3. Step 3: Cross multiply
    538.40x = 806.16 × 281.36
  4. Step 4: Simplify right side
    538.40x = 226,821.18
  5. Step 5: Solve for x
    x = 226,821.18/538.40
  6. Step 6: Final answer
    x = 421.29

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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.