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Finding the Fourth Proportional to 548.53, 756.63 and 338.77

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Solution

The fourth proportional to 548.53, 756.63 and 338.77 is: 467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.53 : 756.63 = 338.77 : x
  2. Step 2: Convert to fraction form
    548.53/756.63 = 338.77/x
  3. Step 3: Cross multiply
    548.53x = 756.63 × 338.77
  4. Step 4: Simplify right side
    548.53x = 256,323.55
  5. Step 5: Solve for x
    x = 256,323.55/548.53
  6. Step 6: Final answer
    x = 467.29

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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.