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Finding the Fourth Proportional to 600.80, 901.32 and 276.26

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Solution

The fourth proportional to 600.80, 901.32 and 276.26 is: 414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 901.32 = 276.26 : x
  2. Step 2: Convert to fraction form
    600.80/901.32 = 276.26/x
  3. Step 3: Cross multiply
    600.80x = 901.32 × 276.26
  4. Step 4: Simplify right side
    600.80x = 248,998.66
  5. Step 5: Solve for x
    x = 248,998.66/600.80
  6. Step 6: Final answer
    x = 414.45

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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.