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Finding the Fourth Proportional to 548.34, 755.49 and 382.26

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Solution

The fourth proportional to 548.34, 755.49 and 382.26 is: 526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.34 : 755.49 = 382.26 : x
  2. Step 2: Convert to fraction form
    548.34/755.49 = 382.26/x
  3. Step 3: Cross multiply
    548.34x = 755.49 × 382.26
  4. Step 4: Simplify right side
    548.34x = 288,793.61
  5. Step 5: Solve for x
    x = 288,793.61/548.34
  6. Step 6: Final answer
    x = 526.67

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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.