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Finding the Fourth Proportional to 379.84, 524.02 and 255.58

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Solution

The fourth proportional to 379.84, 524.02 and 255.58 is: 352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.84 : 524.02 = 255.58 : x
  2. Step 2: Convert to fraction form
    379.84/524.02 = 255.58/x
  3. Step 3: Cross multiply
    379.84x = 524.02 × 255.58
  4. Step 4: Simplify right side
    379.84x = 133,929.03
  5. Step 5: Solve for x
    x = 133,929.03/379.84
  6. Step 6: Final answer
    x = 352.59

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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.