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Finding the Fourth Proportional to 684.20, 944.13 and 389.46

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Solution

The fourth proportional to 684.20, 944.13 and 389.46 is: 537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.20 : 944.13 = 389.46 : x
  2. Step 2: Convert to fraction form
    684.20/944.13 = 389.46/x
  3. Step 3: Cross multiply
    684.20x = 944.13 × 389.46
  4. Step 4: Simplify right side
    684.20x = 367,700.87
  5. Step 5: Solve for x
    x = 367,700.87/684.20
  6. Step 6: Final answer
    x = 537.42

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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.