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Finding the Fourth Proportional to 322.94, 483.93 and 200.84

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Solution

The fourth proportional to 322.94, 483.93 and 200.84 is: 300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.94 : 483.93 = 200.84 : x
  2. Step 2: Convert to fraction form
    322.94/483.93 = 200.84/x
  3. Step 3: Cross multiply
    322.94x = 483.93 × 200.84
  4. Step 4: Simplify right side
    322.94x = 97,190.08
  5. Step 5: Solve for x
    x = 97,190.08/322.94
  6. Step 6: Final answer
    x = 300.96

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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.