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Finding the Fourth Proportional to 548.68, 822.38 and 304.76

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Solution

The fourth proportional to 548.68, 822.38 and 304.76 is: 456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.68 : 822.38 = 304.76 : x
  2. Step 2: Convert to fraction form
    548.68/822.38 = 304.76/x
  3. Step 3: Cross multiply
    548.68x = 822.38 × 304.76
  4. Step 4: Simplify right side
    548.68x = 250,628.53
  5. Step 5: Solve for x
    x = 250,628.53/548.68
  6. Step 6: Final answer
    x = 456.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.