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Finding the Fourth Proportional to 578.92, 798.90 and 330.23

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Solution

The fourth proportional to 578.92, 798.90 and 330.23 is: 455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.92 : 798.90 = 330.23 : x
  2. Step 2: Convert to fraction form
    578.92/798.90 = 330.23/x
  3. Step 3: Cross multiply
    578.92x = 798.90 × 330.23
  4. Step 4: Simplify right side
    578.92x = 263,817.58
  5. Step 5: Solve for x
    x = 263,817.58/578.92
  6. Step 6: Final answer
    x = 455.71

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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.