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Finding the Fourth Proportional to 673.84, 929.97 and 394.05

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Solution

The fourth proportional to 673.84, 929.97 and 394.05 is: 543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.84 : 929.97 = 394.05 : x
  2. Step 2: Convert to fraction form
    673.84/929.97 = 394.05/x
  3. Step 3: Cross multiply
    673.84x = 929.97 × 394.05
  4. Step 4: Simplify right side
    673.84x = 366,454.68
  5. Step 5: Solve for x
    x = 366,454.68/673.84
  6. Step 6: Final answer
    x = 543.83

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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.