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Finding the Fourth Proportional to 682.71, 942.15 and 535.08

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Solution

The fourth proportional to 682.71, 942.15 and 535.08 is: 738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.71 : 942.15 = 535.08 : x
  2. Step 2: Convert to fraction form
    682.71/942.15 = 535.08/x
  3. Step 3: Cross multiply
    682.71x = 942.15 × 535.08
  4. Step 4: Simplify right side
    682.71x = 504,125.62
  5. Step 5: Solve for x
    x = 504,125.62/682.71
  6. Step 6: Final answer
    x = 738.42

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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.