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Finding the Fourth Proportional to 923.06, 1,384.61 and 298.47

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Solution

The fourth proportional to 923.06, 1,384.61 and 298.47 is: 447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.06 : 1,384.61 = 298.47 : x
  2. Step 2: Convert to fraction form
    923.06/1,384.61 = 298.47/x
  3. Step 3: Cross multiply
    923.06x = 1,384.61 × 298.47
  4. Step 4: Simplify right side
    923.06x = 413,263.05
  5. Step 5: Solve for x
    x = 413,263.05/923.06
  6. Step 6: Final answer
    x = 447.71

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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.