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Finding the Fourth Proportional to 381.39, 526.23 and 257.28

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Solution

The fourth proportional to 381.39, 526.23 and 257.28 is: 354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.39 : 526.23 = 257.28 : x
  2. Step 2: Convert to fraction form
    381.39/526.23 = 257.28/x
  3. Step 3: Cross multiply
    381.39x = 526.23 × 257.28
  4. Step 4: Simplify right side
    381.39x = 135,388.45
  5. Step 5: Solve for x
    x = 135,388.45/381.39
  6. Step 6: Final answer
    x = 354.99

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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.