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Finding the Fourth Proportional to 329.35, 490.71 and 320.65

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Solution

The fourth proportional to 329.35, 490.71 and 320.65 is: 477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.35 : 490.71 = 320.65 : x
  2. Step 2: Convert to fraction form
    329.35/490.71 = 320.65/x
  3. Step 3: Cross multiply
    329.35x = 490.71 × 320.65
  4. Step 4: Simplify right side
    329.35x = 157,346.16
  5. Step 5: Solve for x
    x = 157,346.16/329.35
  6. Step 6: Final answer
    x = 477.75

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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.