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Finding the Fourth Proportional to 684.24, 944.36 and 389.60

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Solution

The fourth proportional to 684.24, 944.36 and 389.60 is: 537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.24 : 944.36 = 389.60 : x
  2. Step 2: Convert to fraction form
    684.24/944.36 = 389.60/x
  3. Step 3: Cross multiply
    684.24x = 944.36 × 389.60
  4. Step 4: Simplify right side
    684.24x = 367,922.66
  5. Step 5: Solve for x
    x = 367,922.66/684.24
  6. Step 6: Final answer
    x = 537.71

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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.