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Finding the Fourth Proportional to 300.84, 450.56 and 218.04

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Solution

The fourth proportional to 300.84, 450.56 and 218.04 is: 326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.84 : 450.56 = 218.04 : x
  2. Step 2: Convert to fraction form
    300.84/450.56 = 218.04/x
  3. Step 3: Cross multiply
    300.84x = 450.56 × 218.04
  4. Step 4: Simplify right side
    300.84x = 98,240.10
  5. Step 5: Solve for x
    x = 98,240.10/300.84
  6. Step 6: Final answer
    x = 326.55

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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.