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Finding the Fourth Proportional to 684.29, 945.64 and 518.21

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Solution

The fourth proportional to 684.29, 945.64 and 518.21 is: 716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.29 : 945.64 = 518.21 : x
  2. Step 2: Convert to fraction form
    684.29/945.64 = 518.21/x
  3. Step 3: Cross multiply
    684.29x = 945.64 × 518.21
  4. Step 4: Simplify right side
    684.29x = 490,040.10
  5. Step 5: Solve for x
    x = 490,040.10/684.29
  6. Step 6: Final answer
    x = 716.13

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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.