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Finding the Fourth Proportional to 329.84, 455.19 and 256.03

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Solution

The fourth proportional to 329.84, 455.19 and 256.03 is: 353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.84 : 455.19 = 256.03 : x
  2. Step 2: Convert to fraction form
    329.84/455.19 = 256.03/x
  3. Step 3: Cross multiply
    329.84x = 455.19 × 256.03
  4. Step 4: Simplify right side
    329.84x = 116,540.20
  5. Step 5: Solve for x
    x = 116,540.20/329.84
  6. Step 6: Final answer
    x = 353.32

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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.