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Finding the Fourth Proportional to 900.85, 1,351.27 and 276.15

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Solution

The fourth proportional to 900.85, 1,351.27 and 276.15 is: 414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.85 : 1,351.27 = 276.15 : x
  2. Step 2: Convert to fraction form
    900.85/1,351.27 = 276.15/x
  3. Step 3: Cross multiply
    900.85x = 1,351.27 × 276.15
  4. Step 4: Simplify right side
    900.85x = 373,150.72
  5. Step 5: Solve for x
    x = 373,150.72/900.85
  6. Step 6: Final answer
    x = 414.22

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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.