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Finding the Fourth Proportional to 684.84, 944.93 and 386.09

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Solution

The fourth proportional to 684.84, 944.93 and 386.09 is: 532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.84 : 944.93 = 386.09 : x
  2. Step 2: Convert to fraction form
    684.84/944.93 = 386.09/x
  3. Step 3: Cross multiply
    684.84x = 944.93 × 386.09
  4. Step 4: Simplify right side
    684.84x = 364,824.26
  5. Step 5: Solve for x
    x = 364,824.26/684.84
  6. Step 6: Final answer
    x = 532.71

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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.