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Finding the Fourth Proportional to 382.12, 572.40 and 309.64

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Solution

The fourth proportional to 382.12, 572.40 and 309.64 is: 463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.12 : 572.40 = 309.64 : x
  2. Step 2: Convert to fraction form
    382.12/572.40 = 309.64/x
  3. Step 3: Cross multiply
    382.12x = 572.40 × 309.64
  4. Step 4: Simplify right side
    382.12x = 177,237.94
  5. Step 5: Solve for x
    x = 177,237.94/382.12
  6. Step 6: Final answer
    x = 463.83

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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.