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Finding the Fourth Proportional to 896.88, 1,345.37 and 280.67

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Solution

The fourth proportional to 896.88, 1,345.37 and 280.67 is: 421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.88 : 1,345.37 = 280.67 : x
  2. Step 2: Convert to fraction form
    896.88/1,345.37 = 280.67/x
  3. Step 3: Cross multiply
    896.88x = 1,345.37 × 280.67
  4. Step 4: Simplify right side
    896.88x = 377,605.00
  5. Step 5: Solve for x
    x = 377,605.00/896.88
  6. Step 6: Final answer
    x = 421.02

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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.