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Finding the Fourth Proportional to 381.41, 526.32 and 257.24

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Solution

The fourth proportional to 381.41, 526.32 and 257.24 is: 354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.41 : 526.32 = 257.24 : x
  2. Step 2: Convert to fraction form
    381.41/526.32 = 257.24/x
  3. Step 3: Cross multiply
    381.41x = 526.32 × 257.24
  4. Step 4: Simplify right side
    381.41x = 135,388.28
  5. Step 5: Solve for x
    x = 135,388.28/381.41
  6. Step 6: Final answer
    x = 354.97

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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.