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Finding the Fourth Proportional to 329.14, 491.04 and 296.33

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Solution

The fourth proportional to 329.14, 491.04 and 296.33 is: 442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.14 : 491.04 = 296.33 : x
  2. Step 2: Convert to fraction form
    329.14/491.04 = 296.33/x
  3. Step 3: Cross multiply
    329.14x = 491.04 × 296.33
  4. Step 4: Simplify right side
    329.14x = 145,509.88
  5. Step 5: Solve for x
    x = 145,509.88/329.14
  6. Step 6: Final answer
    x = 442.09

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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.