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Finding the Fourth Proportional to 684.42, 944.45 and 389.68

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Solution

The fourth proportional to 684.42, 944.45 and 389.68 is: 537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.42 : 944.45 = 389.68 : x
  2. Step 2: Convert to fraction form
    684.42/944.45 = 389.68/x
  3. Step 3: Cross multiply
    684.42x = 944.45 × 389.68
  4. Step 4: Simplify right side
    684.42x = 368,033.28
  5. Step 5: Solve for x
    x = 368,033.28/684.42
  6. Step 6: Final answer
    x = 537.73

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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.