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Finding the Fourth Proportional to 673.96, 930.06 and 394.20

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Solution

The fourth proportional to 673.96, 930.06 and 394.20 is: 543.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.96 : 930.06 = 394.20 : x
  2. Step 2: Convert to fraction form
    673.96/930.06 = 394.20/x
  3. Step 3: Cross multiply
    673.96x = 930.06 × 394.20
  4. Step 4: Simplify right side
    673.96x = 366,629.65
  5. Step 5: Solve for x
    x = 366,629.65/673.96
  6. Step 6: Final answer
    x = 543.99

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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.