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Finding the Fourth Proportional to 493.94, 681.49 and 344.39

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Solution

The fourth proportional to 493.94, 681.49 and 344.39 is: 475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.94 : 681.49 = 344.39 : x
  2. Step 2: Convert to fraction form
    493.94/681.49 = 344.39/x
  3. Step 3: Cross multiply
    493.94x = 681.49 × 344.39
  4. Step 4: Simplify right side
    493.94x = 234,697.27
  5. Step 5: Solve for x
    x = 234,697.27/493.94
  6. Step 6: Final answer
    x = 475.16

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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.