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Finding the Fourth Proportional to 684.05, 944.10 and 447.98

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Solution

The fourth proportional to 684.05, 944.10 and 447.98 is: 618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.05 : 944.10 = 447.98 : x
  2. Step 2: Convert to fraction form
    684.05/944.10 = 447.98/x
  3. Step 3: Cross multiply
    684.05x = 944.10 × 447.98
  4. Step 4: Simplify right side
    684.05x = 422,933.20
  5. Step 5: Solve for x
    x = 422,933.20/684.05
  6. Step 6: Final answer
    x = 618.28

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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.