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Finding the Fourth Proportional to 299.96, 449.35 and 283.10

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Solution

The fourth proportional to 299.96, 449.35 and 283.10 is: 424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 449.35 = 283.10 : x
  2. Step 2: Convert to fraction form
    299.96/449.35 = 283.10/x
  3. Step 3: Cross multiply
    299.96x = 449.35 × 283.10
  4. Step 4: Simplify right side
    299.96x = 127,208.03
  5. Step 5: Solve for x
    x = 127,208.03/299.96
  6. Step 6: Final answer
    x = 424.09

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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.