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Finding the Fourth Proportional to 329.45, 453.63 and 287.76

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Solution

The fourth proportional to 329.45, 453.63 and 287.76 is: 396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.45 : 453.63 = 287.76 : x
  2. Step 2: Convert to fraction form
    329.45/453.63 = 287.76/x
  3. Step 3: Cross multiply
    329.45x = 453.63 × 287.76
  4. Step 4: Simplify right side
    329.45x = 130,537.65
  5. Step 5: Solve for x
    x = 130,537.65/329.45
  6. Step 6: Final answer
    x = 396.23

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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.