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Finding the Fourth Proportional to 538.14, 806.84 and 277.64

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Solution

The fourth proportional to 538.14, 806.84 and 277.64 is: 416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 806.84 = 277.64 : x
  2. Step 2: Convert to fraction form
    538.14/806.84 = 277.64/x
  3. Step 3: Cross multiply
    538.14x = 806.84 × 277.64
  4. Step 4: Simplify right side
    538.14x = 224,011.06
  5. Step 5: Solve for x
    x = 224,011.06/538.14
  6. Step 6: Final answer
    x = 416.27

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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.