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Finding the Fourth Proportional to 683.93, 944.25 and 422.03

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Solution

The fourth proportional to 683.93, 944.25 and 422.03 is: 582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.93 : 944.25 = 422.03 : x
  2. Step 2: Convert to fraction form
    683.93/944.25 = 422.03/x
  3. Step 3: Cross multiply
    683.93x = 944.25 × 422.03
  4. Step 4: Simplify right side
    683.93x = 398,501.83
  5. Step 5: Solve for x
    x = 398,501.83/683.93
  6. Step 6: Final answer
    x = 582.66

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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.