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Finding the Fourth Proportional to 548.40, 755.16 and 392.88

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Solution

The fourth proportional to 548.40, 755.16 and 392.88 is: 541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 755.16 = 392.88 : x
  2. Step 2: Convert to fraction form
    548.40/755.16 = 392.88/x
  3. Step 3: Cross multiply
    548.40x = 755.16 × 392.88
  4. Step 4: Simplify right side
    548.40x = 296,687.26
  5. Step 5: Solve for x
    x = 296,687.26/548.40
  6. Step 6: Final answer
    x = 541.01

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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.