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Finding the Fourth Proportional to 684.95, 945.21 and 422.96

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Solution

The fourth proportional to 684.95, 945.21 and 422.96 is: 583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.95 : 945.21 = 422.96 : x
  2. Step 2: Convert to fraction form
    684.95/945.21 = 422.96/x
  3. Step 3: Cross multiply
    684.95x = 945.21 × 422.96
  4. Step 4: Simplify right side
    684.95x = 399,781.30
  5. Step 5: Solve for x
    x = 399,781.30/684.95
  6. Step 6: Final answer
    x = 583.67

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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.