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Finding the Fourth Proportional to 379.76, 524.03 and 255.40

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Solution

The fourth proportional to 379.76, 524.03 and 255.40 is: 352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.76 : 524.03 = 255.40 : x
  2. Step 2: Convert to fraction form
    379.76/524.03 = 255.40/x
  3. Step 3: Cross multiply
    379.76x = 524.03 × 255.40
  4. Step 4: Simplify right side
    379.76x = 133,837.26
  5. Step 5: Solve for x
    x = 133,837.26/379.76
  6. Step 6: Final answer
    x = 352.43

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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.