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Finding the Fourth Proportional to 453.15, 680.01 and 270.72

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Solution

The fourth proportional to 453.15, 680.01 and 270.72 is: 406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.15 : 680.01 = 270.72 : x
  2. Step 2: Convert to fraction form
    453.15/680.01 = 270.72/x
  3. Step 3: Cross multiply
    453.15x = 680.01 × 270.72
  4. Step 4: Simplify right side
    453.15x = 184,092.31
  5. Step 5: Solve for x
    x = 184,092.31/453.15
  6. Step 6: Final answer
    x = 406.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.