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Finding the Fourth Proportional to 548.60, 756.48 and 382.74

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Solution

The fourth proportional to 548.60, 756.48 and 382.74 is: 527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.60 : 756.48 = 382.74 : x
  2. Step 2: Convert to fraction form
    548.60/756.48 = 382.74/x
  3. Step 3: Cross multiply
    548.60x = 756.48 × 382.74
  4. Step 4: Simplify right side
    548.60x = 289,535.16
  5. Step 5: Solve for x
    x = 289,535.16/548.60
  6. Step 6: Final answer
    x = 527.78

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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.