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Finding the Fourth Proportional to 383.94, 577.96 and 344.25

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Solution

The fourth proportional to 383.94, 577.96 and 344.25 is: 518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.94 : 577.96 = 344.25 : x
  2. Step 2: Convert to fraction form
    383.94/577.96 = 344.25/x
  3. Step 3: Cross multiply
    383.94x = 577.96 × 344.25
  4. Step 4: Simplify right side
    383.94x = 198,961.87
  5. Step 5: Solve for x
    x = 198,961.87/383.94
  6. Step 6: Final answer
    x = 518.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.