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Finding the Fourth Proportional to 449.94, 674.64 and 206.16

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Solution

The fourth proportional to 449.94, 674.64 and 206.16 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.94 : 674.64 = 206.16 : x
  2. Step 2: Convert to fraction form
    449.94/674.64 = 206.16/x
  3. Step 3: Cross multiply
    449.94x = 674.64 × 206.16
  4. Step 4: Simplify right side
    449.94x = 139,083.78
  5. Step 5: Solve for x
    x = 139,083.78/449.94
  6. Step 6: Final answer
    x = 309.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.