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Finding the Fourth Proportional to 684.86, 944.93 and 463.73

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Solution

The fourth proportional to 684.86, 944.93 and 463.73 is: 639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.86 : 944.93 = 463.73 : x
  2. Step 2: Convert to fraction form
    684.86/944.93 = 463.73/x
  3. Step 3: Cross multiply
    684.86x = 944.93 × 463.73
  4. Step 4: Simplify right side
    684.86x = 438,188.82
  5. Step 5: Solve for x
    x = 438,188.82/684.86
  6. Step 6: Final answer
    x = 639.83

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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.