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Finding the Fourth Proportional to 381.96, 526.78 and 257.60

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Solution

The fourth proportional to 381.96, 526.78 and 257.60 is: 355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.96 : 526.78 = 257.60 : x
  2. Step 2: Convert to fraction form
    381.96/526.78 = 257.60/x
  3. Step 3: Cross multiply
    381.96x = 526.78 × 257.60
  4. Step 4: Simplify right side
    381.96x = 135,698.53
  5. Step 5: Solve for x
    x = 135,698.53/381.96
  6. Step 6: Final answer
    x = 355.27

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