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Finding the Fourth Proportional to 383.74, 572.81 and 329.98

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Solution

The fourth proportional to 383.74, 572.81 and 329.98 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.74 : 572.81 = 329.98 : x
  2. Step 2: Convert to fraction form
    383.74/572.81 = 329.98/x
  3. Step 3: Cross multiply
    383.74x = 572.81 × 329.98
  4. Step 4: Simplify right side
    383.74x = 189,015.84
  5. Step 5: Solve for x
    x = 189,015.84/383.74
  6. Step 6: Final answer
    x = 492.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.