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Finding the Fourth Proportional to 300.84, 414.64 and 218.08

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Solution

The fourth proportional to 300.84, 414.64 and 218.08 is: 300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.84 : 414.64 = 218.08 : x
  2. Step 2: Convert to fraction form
    300.84/414.64 = 218.08/x
  3. Step 3: Cross multiply
    300.84x = 414.64 × 218.08
  4. Step 4: Simplify right side
    300.84x = 90,424.69
  5. Step 5: Solve for x
    x = 90,424.69/300.84
  6. Step 6: Final answer
    x = 300.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.