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Finding the Fourth Proportional to 684.08, 944.04 and 422

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Solution

The fourth proportional to 684.08, 944.04 and 422 is: 582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.08 : 944.04 = 422 : x
  2. Step 2: Convert to fraction form
    684.08/944.04 = 422/x
  3. Step 3: Cross multiply
    684.08x = 944.04 × 422
  4. Step 4: Simplify right side
    684.08x = 398,384.88
  5. Step 5: Solve for x
    x = 398,384.88/684.08
  6. Step 6: Final answer
    x = 582.37

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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.