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Finding the Fourth Proportional to 548.82, 757.18 and 312.74

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Solution

The fourth proportional to 548.82, 757.18 and 312.74 is: 431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.82 : 757.18 = 312.74 : x
  2. Step 2: Convert to fraction form
    548.82/757.18 = 312.74/x
  3. Step 3: Cross multiply
    548.82x = 757.18 × 312.74
  4. Step 4: Simplify right side
    548.82x = 236,800.47
  5. Step 5: Solve for x
    x = 236,800.47/548.82
  6. Step 6: Final answer
    x = 431.47

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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.