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Finding the Fourth Proportional to 353.84, 488.52 and 255.44

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Solution

The fourth proportional to 353.84, 488.52 and 255.44 is: 352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.84 : 488.52 = 255.44 : x
  2. Step 2: Convert to fraction form
    353.84/488.52 = 255.44/x
  3. Step 3: Cross multiply
    353.84x = 488.52 × 255.44
  4. Step 4: Simplify right side
    353.84x = 124,787.55
  5. Step 5: Solve for x
    x = 124,787.55/353.84
  6. Step 6: Final answer
    x = 352.67

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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.