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Finding the Fourth Proportional to 684.25, 944.31 and 422.14

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Solution

The fourth proportional to 684.25, 944.31 and 422.14 is: 582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.25 : 944.31 = 422.14 : x
  2. Step 2: Convert to fraction form
    684.25/944.31 = 422.14/x
  3. Step 3: Cross multiply
    684.25x = 944.31 × 422.14
  4. Step 4: Simplify right side
    684.25x = 398,631.02
  5. Step 5: Solve for x
    x = 398,631.02/684.25
  6. Step 6: Final answer
    x = 582.58

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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.