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Finding the Fourth Proportional to 678.44, 1,017.52 and 293.76

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Solution

The fourth proportional to 678.44, 1,017.52 and 293.76 is: 440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.44 : 1,017.52 = 293.76 : x
  2. Step 2: Convert to fraction form
    678.44/1,017.52 = 293.76/x
  3. Step 3: Cross multiply
    678.44x = 1,017.52 × 293.76
  4. Step 4: Simplify right side
    678.44x = 298,906.68
  5. Step 5: Solve for x
    x = 298,906.68/678.44
  6. Step 6: Final answer
    x = 440.58

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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.