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Finding the Fourth Proportional to 450, 675.27 and 206.54

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Solution

The fourth proportional to 450, 675.27 and 206.54 is: 309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 675.27 = 206.54 : x
  2. Step 2: Convert to fraction form
    450/675.27 = 206.54/x
  3. Step 3: Cross multiply
    450x = 675.27 × 206.54
  4. Step 4: Simplify right side
    450x = 139,466.89
  5. Step 5: Solve for x
    x = 139,466.89/450
  6. Step 6: Final answer
    x = 309.93

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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.