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Finding the Fourth Proportional to 449.72, 674.36 and 206.16

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Solution

The fourth proportional to 449.72, 674.36 and 206.16 is: 309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.72 : 674.36 = 206.16 : x
  2. Step 2: Convert to fraction form
    449.72/674.36 = 206.16/x
  3. Step 3: Cross multiply
    449.72x = 674.36 × 206.16
  4. Step 4: Simplify right side
    449.72x = 139,026.06
  5. Step 5: Solve for x
    x = 139,026.06/449.72
  6. Step 6: Final answer
    x = 309.14

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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.