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Finding the Fourth Proportional to 922.70, 1,384.26 and 273.49

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Solution

The fourth proportional to 922.70, 1,384.26 and 273.49 is: 410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.70 : 1,384.26 = 273.49 : x
  2. Step 2: Convert to fraction form
    922.70/1,384.26 = 273.49/x
  3. Step 3: Cross multiply
    922.70x = 1,384.26 × 273.49
  4. Step 4: Simplify right side
    922.70x = 378,581.27
  5. Step 5: Solve for x
    x = 378,581.27/922.70
  6. Step 6: Final answer
    x = 410.30

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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.