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Finding the Fourth Proportional to 381.33, 526.32 and 287.96

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Solution

The fourth proportional to 381.33, 526.32 and 287.96 is: 397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.33 : 526.32 = 287.96 : x
  2. Step 2: Convert to fraction form
    381.33/526.32 = 287.96/x
  3. Step 3: Cross multiply
    381.33x = 526.32 × 287.96
  4. Step 4: Simplify right side
    381.33x = 151,556.48
  5. Step 5: Solve for x
    x = 151,556.48/381.33
  6. Step 6: Final answer
    x = 397.44

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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.