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Finding the Fourth Proportional to 682.67, 941.75 and 420.23

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Solution

The fourth proportional to 682.67, 941.75 and 420.23 is: 579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.67 : 941.75 = 420.23 : x
  2. Step 2: Convert to fraction form
    682.67/941.75 = 420.23/x
  3. Step 3: Cross multiply
    682.67x = 941.75 × 420.23
  4. Step 4: Simplify right side
    682.67x = 395,744.79
  5. Step 5: Solve for x
    x = 395,744.79/682.67
  6. Step 6: Final answer
    x = 579.71

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1.5x scale

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.