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Finding the Fourth Proportional to 682.65, 942.09 and 387.96

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Solution

The fourth proportional to 682.65, 942.09 and 387.96 is: 535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.65 : 942.09 = 387.96 : x
  2. Step 2: Convert to fraction form
    682.65/942.09 = 387.96/x
  3. Step 3: Cross multiply
    682.65x = 942.09 × 387.96
  4. Step 4: Simplify right side
    682.65x = 365,493.24
  5. Step 5: Solve for x
    x = 365,493.24/682.65
  6. Step 6: Final answer
    x = 535.40

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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.