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Finding the Fourth Proportional to 683.80, 944.14 and 422.18

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Solution

The fourth proportional to 683.80, 944.14 and 422.18 is: 582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.80 : 944.14 = 422.18 : x
  2. Step 2: Convert to fraction form
    683.80/944.14 = 422.18/x
  3. Step 3: Cross multiply
    683.80x = 944.14 × 422.18
  4. Step 4: Simplify right side
    683.80x = 398,597.03
  5. Step 5: Solve for x
    x = 398,597.03/683.80
  6. Step 6: Final answer
    x = 582.91

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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.