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Finding the Fourth Proportional to 383.96, 529.71 and 234.46

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Solution

The fourth proportional to 383.96, 529.71 and 234.46 is: 323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.96 : 529.71 = 234.46 : x
  2. Step 2: Convert to fraction form
    383.96/529.71 = 234.46/x
  3. Step 3: Cross multiply
    383.96x = 529.71 × 234.46
  4. Step 4: Simplify right side
    383.96x = 124,195.81
  5. Step 5: Solve for x
    x = 124,195.81/383.96
  6. Step 6: Final answer
    x = 323.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.