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Finding the Fourth Proportional to 548.80, 757.62 and 362.56

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Solution

The fourth proportional to 548.80, 757.62 and 362.56 is: 500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.80 : 757.62 = 362.56 : x
  2. Step 2: Convert to fraction form
    548.80/757.62 = 362.56/x
  3. Step 3: Cross multiply
    548.80x = 757.62 × 362.56
  4. Step 4: Simplify right side
    548.80x = 274,682.71
  5. Step 5: Solve for x
    x = 274,682.71/548.80
  6. Step 6: Final answer
    x = 500.52

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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.