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Finding the Fourth Proportional to 381.52, 526.32 and 241.68

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Solution

The fourth proportional to 381.52, 526.32 and 241.68 is: 333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.52 : 526.32 = 241.68 : x
  2. Step 2: Convert to fraction form
    381.52/526.32 = 241.68/x
  3. Step 3: Cross multiply
    381.52x = 526.32 × 241.68
  4. Step 4: Simplify right side
    381.52x = 127,201.02
  5. Step 5: Solve for x
    x = 127,201.02/381.52
  6. Step 6: Final answer
    x = 333.41

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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.