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Finding the Fourth Proportional to 453.37, 682.11 and 270.90

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Solution

The fourth proportional to 453.37, 682.11 and 270.90 is: 407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.37 : 682.11 = 270.90 : x
  2. Step 2: Convert to fraction form
    453.37/682.11 = 270.90/x
  3. Step 3: Cross multiply
    453.37x = 682.11 × 270.90
  4. Step 4: Simplify right side
    453.37x = 184,783.60
  5. Step 5: Solve for x
    x = 184,783.60/453.37
  6. Step 6: Final answer
    x = 407.58

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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.