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Finding the Fourth Proportional to 382.39, 526.91 and 323.19

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Solution

The fourth proportional to 382.39, 526.91 and 323.19 is: 445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.39 : 526.91 = 323.19 : x
  2. Step 2: Convert to fraction form
    382.39/526.91 = 323.19/x
  3. Step 3: Cross multiply
    382.39x = 526.91 × 323.19
  4. Step 4: Simplify right side
    382.39x = 170,290.43
  5. Step 5: Solve for x
    x = 170,290.43/382.39
  6. Step 6: Final answer
    x = 445.33

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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.