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Finding the Fourth Proportional to 548.32, 755.68 and 513.68

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Solution

The fourth proportional to 548.32, 755.68 and 513.68 is: 707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.32 : 755.68 = 513.68 : x
  2. Step 2: Convert to fraction form
    548.32/755.68 = 513.68/x
  3. Step 3: Cross multiply
    548.32x = 755.68 × 513.68
  4. Step 4: Simplify right side
    548.32x = 388,177.70
  5. Step 5: Solve for x
    x = 388,177.70/548.32
  6. Step 6: Final answer
    x = 707.94

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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.