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Finding the Fourth Proportional to 684.37, 944.69 and 435.83

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Solution

The fourth proportional to 684.37, 944.69 and 435.83 is: 601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.37 : 944.69 = 435.83 : x
  2. Step 2: Convert to fraction form
    684.37/944.69 = 435.83/x
  3. Step 3: Cross multiply
    684.37x = 944.69 × 435.83
  4. Step 4: Simplify right side
    684.37x = 411,724.24
  5. Step 5: Solve for x
    x = 411,724.24/684.37
  6. Step 6: Final answer
    x = 601.61

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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.