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Finding the Fourth Proportional to 383.94, 576.09 and 307.62

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Solution

The fourth proportional to 383.94, 576.09 and 307.62 is: 461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.94 : 576.09 = 307.62 : x
  2. Step 2: Convert to fraction form
    383.94/576.09 = 307.62/x
  3. Step 3: Cross multiply
    383.94x = 576.09 × 307.62
  4. Step 4: Simplify right side
    383.94x = 177,216.81
  5. Step 5: Solve for x
    x = 177,216.81/383.94
  6. Step 6: Final answer
    x = 461.57

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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.