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Finding the Fourth Proportional to 684.05, 944.31 and 485.29

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Solution

The fourth proportional to 684.05, 944.31 and 485.29 is: 669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.05 : 944.31 = 485.29 : x
  2. Step 2: Convert to fraction form
    684.05/944.31 = 485.29/x
  3. Step 3: Cross multiply
    684.05x = 944.31 × 485.29
  4. Step 4: Simplify right side
    684.05x = 458,264.47
  5. Step 5: Solve for x
    x = 458,264.47/684.05
  6. Step 6: Final answer
    x = 669.93

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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.