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Finding the Fourth Proportional to 538.08, 806.76 and 277.87

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Solution

The fourth proportional to 538.08, 806.76 and 277.87 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.08 : 806.76 = 277.87 : x
  2. Step 2: Convert to fraction form
    538.08/806.76 = 277.87/x
  3. Step 3: Cross multiply
    538.08x = 806.76 × 277.87
  4. Step 4: Simplify right side
    538.08x = 224,170.37
  5. Step 5: Solve for x
    x = 224,170.37/538.08
  6. Step 6: Final answer
    x = 416.62

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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.