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Finding the Fourth Proportional to 673.92, 930.04 and 411.75

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Solution

The fourth proportional to 673.92, 930.04 and 411.75 is: 568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.92 : 930.04 = 411.75 : x
  2. Step 2: Convert to fraction form
    673.92/930.04 = 411.75/x
  3. Step 3: Cross multiply
    673.92x = 930.04 × 411.75
  4. Step 4: Simplify right side
    673.92x = 382,942.94
  5. Step 5: Solve for x
    x = 382,942.94/673.92
  6. Step 6: Final answer
    x = 568.23

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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.