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Finding the Fourth Proportional to 684.10, 943.79 and 421.66

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Solution

The fourth proportional to 684.10, 943.79 and 421.66 is: 581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.10 : 943.79 = 421.66 : x
  2. Step 2: Convert to fraction form
    684.10/943.79 = 421.66/x
  3. Step 3: Cross multiply
    684.10x = 943.79 × 421.66
  4. Step 4: Simplify right side
    684.10x = 397,958.49
  5. Step 5: Solve for x
    x = 397,958.49/684.10
  6. Step 6: Final answer
    x = 581.73

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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.