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Finding the Fourth Proportional to 491.94, 736.94 and 329.66

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Solution

The fourth proportional to 491.94, 736.94 and 329.66 is: 493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.94 : 736.94 = 329.66 : x
  2. Step 2: Convert to fraction form
    491.94/736.94 = 329.66/x
  3. Step 3: Cross multiply
    491.94x = 736.94 × 329.66
  4. Step 4: Simplify right side
    491.94x = 242,939.64
  5. Step 5: Solve for x
    x = 242,939.64/491.94
  6. Step 6: Final answer
    x = 493.84

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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.