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Finding the Fourth Proportional to 450.06, 674.63 and 206.45

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Solution

The fourth proportional to 450.06, 674.63 and 206.45 is: 309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.06 : 674.63 = 206.45 : x
  2. Step 2: Convert to fraction form
    450.06/674.63 = 206.45/x
  3. Step 3: Cross multiply
    450.06x = 674.63 × 206.45
  4. Step 4: Simplify right side
    450.06x = 139,276.26
  5. Step 5: Solve for x
    x = 139,276.26/450.06
  6. Step 6: Final answer
    x = 309.46

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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.