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Finding the Fourth Proportional to 548.23, 756.25 and 382.15

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Solution

The fourth proportional to 548.23, 756.25 and 382.15 is: 527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.23 : 756.25 = 382.15 : x
  2. Step 2: Convert to fraction form
    548.23/756.25 = 382.15/x
  3. Step 3: Cross multiply
    548.23x = 756.25 × 382.15
  4. Step 4: Simplify right side
    548.23x = 289,000.94
  5. Step 5: Solve for x
    x = 289,000.94/548.23
  6. Step 6: Final answer
    x = 527.15

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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.