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Finding the Fourth Proportional to 383.17, 573.48 and 329.71

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Solution

The fourth proportional to 383.17, 573.48 and 329.71 is: 493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.17 : 573.48 = 329.71 : x
  2. Step 2: Convert to fraction form
    383.17/573.48 = 329.71/x
  3. Step 3: Cross multiply
    383.17x = 573.48 × 329.71
  4. Step 4: Simplify right side
    383.17x = 189,082.09
  5. Step 5: Solve for x
    x = 189,082.09/383.17
  6. Step 6: Final answer
    x = 493.47

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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.