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Finding the Fourth Proportional to 334.27, 500.49 and 282.63

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Solution

The fourth proportional to 334.27, 500.49 and 282.63 is: 423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.27 : 500.49 = 282.63 : x
  2. Step 2: Convert to fraction form
    334.27/500.49 = 282.63/x
  3. Step 3: Cross multiply
    334.27x = 500.49 × 282.63
  4. Step 4: Simplify right side
    334.27x = 141,453.49
  5. Step 5: Solve for x
    x = 141,453.49/334.27
  6. Step 6: Final answer
    x = 423.17

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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.