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Finding the Fourth Proportional to 329.10, 452.06 and 319.38

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Solution

The fourth proportional to 329.10, 452.06 and 319.38 is: 438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.10 : 452.06 = 319.38 : x
  2. Step 2: Convert to fraction form
    329.10/452.06 = 319.38/x
  3. Step 3: Cross multiply
    329.10x = 452.06 × 319.38
  4. Step 4: Simplify right side
    329.10x = 144,377.33
  5. Step 5: Solve for x
    x = 144,377.33/329.10
  6. Step 6: Final answer
    x = 438.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.