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Finding the Fourth Proportional to 548.53, 756.95 and 312.44

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Solution

The fourth proportional to 548.53, 756.95 and 312.44 is: 431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.53 : 756.95 = 312.44 : x
  2. Step 2: Convert to fraction form
    548.53/756.95 = 312.44/x
  3. Step 3: Cross multiply
    548.53x = 756.95 × 312.44
  4. Step 4: Simplify right side
    548.53x = 236,503.56
  5. Step 5: Solve for x
    x = 236,503.56/548.53
  6. Step 6: Final answer
    x = 431.16

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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.