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Finding the Fourth Proportional to 537.14, 805.34 and 276.64

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Solution

The fourth proportional to 537.14, 805.34 and 276.64 is: 414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.14 : 805.34 = 276.64 : x
  2. Step 2: Convert to fraction form
    537.14/805.34 = 276.64/x
  3. Step 3: Cross multiply
    537.14x = 805.34 × 276.64
  4. Step 4: Simplify right side
    537.14x = 222,787.94
  5. Step 5: Solve for x
    x = 222,787.94/537.14
  6. Step 6: Final answer
    x = 414.77

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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.