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Finding the Fourth Proportional to 548.34, 755.69 and 390.98

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Solution

The fourth proportional to 548.34, 755.69 and 390.98 is: 538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.34 : 755.69 = 390.98 : x
  2. Step 2: Convert to fraction form
    548.34/755.69 = 390.98/x
  3. Step 3: Cross multiply
    548.34x = 755.69 × 390.98
  4. Step 4: Simplify right side
    548.34x = 295,459.68
  5. Step 5: Solve for x
    x = 295,459.68/548.34
  6. Step 6: Final answer
    x = 538.83

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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.