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Finding the Fourth Proportional to 684.42, 944.34 and 422.28

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Solution

The fourth proportional to 684.42, 944.34 and 422.28 is: 582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.42 : 944.34 = 422.28 : x
  2. Step 2: Convert to fraction form
    684.42/944.34 = 422.28/x
  3. Step 3: Cross multiply
    684.42x = 944.34 × 422.28
  4. Step 4: Simplify right side
    684.42x = 398,775.90
  5. Step 5: Solve for x
    x = 398,775.90/684.42
  6. Step 6: Final answer
    x = 582.65

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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.