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Finding the Fourth Proportional to 329.74, 494.60 and 309.70

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Solution

The fourth proportional to 329.74, 494.60 and 309.70 is: 464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.74 : 494.60 = 309.70 : x
  2. Step 2: Convert to fraction form
    329.74/494.60 = 309.70/x
  3. Step 3: Cross multiply
    329.74x = 494.60 × 309.70
  4. Step 4: Simplify right side
    329.74x = 153,175.15
  5. Step 5: Solve for x
    x = 153,175.15/329.74
  6. Step 6: Final answer
    x = 464.53

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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.