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Finding the Fourth Proportional to 322.28, 483.96 and 284.48

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Solution

The fourth proportional to 322.28, 483.96 and 284.48 is: 427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.28 : 483.96 = 284.48 : x
  2. Step 2: Convert to fraction form
    322.28/483.96 = 284.48/x
  3. Step 3: Cross multiply
    322.28x = 483.96 × 284.48
  4. Step 4: Simplify right side
    322.28x = 137,676.94
  5. Step 5: Solve for x
    x = 137,676.94/322.28
  6. Step 6: Final answer
    x = 427.20

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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.