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Finding the Fourth Proportional to 381.59, 526.81 and 257.91

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Solution

The fourth proportional to 381.59, 526.81 and 257.91 is: 356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.59 : 526.81 = 257.91 : x
  2. Step 2: Convert to fraction form
    381.59/526.81 = 257.91/x
  3. Step 3: Cross multiply
    381.59x = 526.81 × 257.91
  4. Step 4: Simplify right side
    381.59x = 135,869.57
  5. Step 5: Solve for x
    x = 135,869.57/381.59
  6. Step 6: Final answer
    x = 356.06

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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.