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Finding the Fourth Proportional to 673.94, 929.97 and 379.19

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Solution

The fourth proportional to 673.94, 929.97 and 379.19 is: 523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.94 : 929.97 = 379.19 : x
  2. Step 2: Convert to fraction form
    673.94/929.97 = 379.19/x
  3. Step 3: Cross multiply
    673.94x = 929.97 × 379.19
  4. Step 4: Simplify right side
    673.94x = 352,637.65
  5. Step 5: Solve for x
    x = 352,637.65/673.94
  6. Step 6: Final answer
    x = 523.25

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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.