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Finding the Fourth Proportional to 449.06, 674.06 and 284.72

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Solution

The fourth proportional to 449.06, 674.06 and 284.72 is: 427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.06 : 674.06 = 284.72 : x
  2. Step 2: Convert to fraction form
    449.06/674.06 = 284.72/x
  3. Step 3: Cross multiply
    449.06x = 674.06 × 284.72
  4. Step 4: Simplify right side
    449.06x = 191,913.57
  5. Step 5: Solve for x
    x = 191,913.57/449.06
  6. Step 6: Final answer
    x = 427.37

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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.