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Finding the Fourth Proportional to 382.20, 573.69 and 309.93

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Solution

The fourth proportional to 382.20, 573.69 and 309.93 is: 465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.20 : 573.69 = 309.93 : x
  2. Step 2: Convert to fraction form
    382.20/573.69 = 309.93/x
  3. Step 3: Cross multiply
    382.20x = 573.69 × 309.93
  4. Step 4: Simplify right side
    382.20x = 177,803.74
  5. Step 5: Solve for x
    x = 177,803.74/382.20
  6. Step 6: Final answer
    x = 465.21

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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.