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Finding the Fourth Proportional to 329.83, 494 and 256.12

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Solution

The fourth proportional to 329.83, 494 and 256.12 is: 383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.83 : 494 = 256.12 : x
  2. Step 2: Convert to fraction form
    329.83/494 = 256.12/x
  3. Step 3: Cross multiply
    329.83x = 494 × 256.12
  4. Step 4: Simplify right side
    329.83x = 126,523.28
  5. Step 5: Solve for x
    x = 126,523.28/329.83
  6. Step 6: Final answer
    x = 383.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.