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Finding the Fourth Proportional to 673.86, 930.10 and 411.96

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Solution

The fourth proportional to 673.86, 930.10 and 411.96 is: 568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.86 : 930.10 = 411.96 : x
  2. Step 2: Convert to fraction form
    673.86/930.10 = 411.96/x
  3. Step 3: Cross multiply
    673.86x = 930.10 × 411.96
  4. Step 4: Simplify right side
    673.86x = 383,164.00
  5. Step 5: Solve for x
    x = 383,164.00/673.86
  6. Step 6: Final answer
    x = 568.61

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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.