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Finding the Fourth Proportional to 329.77, 492.77 and 251.25

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Solution

The fourth proportional to 329.77, 492.77 and 251.25 is: 375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.77 : 492.77 = 251.25 : x
  2. Step 2: Convert to fraction form
    329.77/492.77 = 251.25/x
  3. Step 3: Cross multiply
    329.77x = 492.77 × 251.25
  4. Step 4: Simplify right side
    329.77x = 123,809.66
  5. Step 5: Solve for x
    x = 123,809.66/329.77
  6. Step 6: Final answer
    x = 375.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.