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Finding the Fourth Proportional to 578.92, 798.05 and 382.09

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Solution

The fourth proportional to 578.92, 798.05 and 382.09 is: 526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.92 : 798.05 = 382.09 : x
  2. Step 2: Convert to fraction form
    578.92/798.05 = 382.09/x
  3. Step 3: Cross multiply
    578.92x = 798.05 × 382.09
  4. Step 4: Simplify right side
    578.92x = 304,922.93
  5. Step 5: Solve for x
    x = 304,922.93/578.92
  6. Step 6: Final answer
    x = 526.71

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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.