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Finding the Fourth Proportional to 673.31, 928.83 and 584.67

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Solution

The fourth proportional to 673.31, 928.83 and 584.67 is: 806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.31 : 928.83 = 584.67 : x
  2. Step 2: Convert to fraction form
    673.31/928.83 = 584.67/x
  3. Step 3: Cross multiply
    673.31x = 928.83 × 584.67
  4. Step 4: Simplify right side
    673.31x = 543,059.04
  5. Step 5: Solve for x
    x = 543,059.04/673.31
  6. Step 6: Final answer
    x = 806.56

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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.