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Finding the Fourth Proportional to 684.26, 945.05 and 462.83

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Solution

The fourth proportional to 684.26, 945.05 and 462.83 is: 639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.26 : 945.05 = 462.83 : x
  2. Step 2: Convert to fraction form
    684.26/945.05 = 462.83/x
  3. Step 3: Cross multiply
    684.26x = 945.05 × 462.83
  4. Step 4: Simplify right side
    684.26x = 437,397.49
  5. Step 5: Solve for x
    x = 437,397.49/684.26
  6. Step 6: Final answer
    x = 639.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.