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Finding the Fourth Proportional to 367.49, 506.96 and 284.96

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Solution

The fourth proportional to 367.49, 506.96 and 284.96 is: 393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.49 : 506.96 = 284.96 : x
  2. Step 2: Convert to fraction form
    367.49/506.96 = 284.96/x
  3. Step 3: Cross multiply
    367.49x = 506.96 × 284.96
  4. Step 4: Simplify right side
    367.49x = 144,459.36
  5. Step 5: Solve for x
    x = 144,459.36/367.49
  6. Step 6: Final answer
    x = 393.10

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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.