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Finding the Fourth Proportional to 923.38, 1,384.97 and 274.07

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Solution

The fourth proportional to 923.38, 1,384.97 and 274.07 is: 411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.38 : 1,384.97 = 274.07 : x
  2. Step 2: Convert to fraction form
    923.38/1,384.97 = 274.07/x
  3. Step 3: Cross multiply
    923.38x = 1,384.97 × 274.07
  4. Step 4: Simplify right side
    923.38x = 379,570.43
  5. Step 5: Solve for x
    x = 379,570.43/923.38
  6. Step 6: Final answer
    x = 411.07

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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.