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Finding the Fourth Proportional to 493.54, 681.10 and 272.48

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Solution

The fourth proportional to 493.54, 681.10 and 272.48 is: 376.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.54 : 681.10 = 272.48 : x
  2. Step 2: Convert to fraction form
    493.54/681.10 = 272.48/x
  3. Step 3: Cross multiply
    493.54x = 681.10 × 272.48
  4. Step 4: Simplify right side
    493.54x = 185,586.13
  5. Step 5: Solve for x
    x = 185,586.13/493.54
  6. Step 6: Final answer
    x = 376.03

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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.