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Finding the Fourth Proportional to 449.87, 619.40 and 406.67

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Solution

The fourth proportional to 449.87, 619.40 and 406.67 is: 559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.87 : 619.40 = 406.67 : x
  2. Step 2: Convert to fraction form
    449.87/619.40 = 406.67/x
  3. Step 3: Cross multiply
    449.87x = 619.40 × 406.67
  4. Step 4: Simplify right side
    449.87x = 251,889.36
  5. Step 5: Solve for x
    x = 251,889.36/449.87
  6. Step 6: Final answer
    x = 559.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.