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Finding the Fourth Proportional to 673.92, 929.61 and 411.75

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Solution

The fourth proportional to 673.92, 929.61 and 411.75 is: 567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.92 : 929.61 = 411.75 : x
  2. Step 2: Convert to fraction form
    673.92/929.61 = 411.75/x
  3. Step 3: Cross multiply
    673.92x = 929.61 × 411.75
  4. Step 4: Simplify right side
    673.92x = 382,766.92
  5. Step 5: Solve for x
    x = 382,766.92/673.92
  6. Step 6: Final answer
    x = 567.97

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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.