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Finding the Fourth Proportional to 537.28, 806.34 and 461.14

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Solution

The fourth proportional to 537.28, 806.34 and 461.14 is: 692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.28 : 806.34 = 461.14 : x
  2. Step 2: Convert to fraction form
    537.28/806.34 = 461.14/x
  3. Step 3: Cross multiply
    537.28x = 806.34 × 461.14
  4. Step 4: Simplify right side
    537.28x = 371,835.63
  5. Step 5: Solve for x
    x = 371,835.63/537.28
  6. Step 6: Final answer
    x = 692.07

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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.