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Finding the Fourth Proportional to 684.71, 944.84 and 389.97

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Solution

The fourth proportional to 684.71, 944.84 and 389.97 is: 538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.71 : 944.84 = 389.97 : x
  2. Step 2: Convert to fraction form
    684.71/944.84 = 389.97/x
  3. Step 3: Cross multiply
    684.71x = 944.84 × 389.97
  4. Step 4: Simplify right side
    684.71x = 368,457.30
  5. Step 5: Solve for x
    x = 368,457.30/684.71
  6. Step 6: Final answer
    x = 538.13

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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.