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Finding the Fourth Proportional to 283.72, 423.29 and 252.94

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Solution

The fourth proportional to 283.72, 423.29 and 252.94 is: 377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.72 : 423.29 = 252.94 : x
  2. Step 2: Convert to fraction form
    283.72/423.29 = 252.94/x
  3. Step 3: Cross multiply
    283.72x = 423.29 × 252.94
  4. Step 4: Simplify right side
    283.72x = 107,066.97
  5. Step 5: Solve for x
    x = 107,066.97/283.72
  6. Step 6: Final answer
    x = 377.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.