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Finding the Fourth Proportional to 678.88, 1,018.24 and 268

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Solution

The fourth proportional to 678.88, 1,018.24 and 268 is: 401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.88 : 1,018.24 = 268 : x
  2. Step 2: Convert to fraction form
    678.88/1,018.24 = 268/x
  3. Step 3: Cross multiply
    678.88x = 1,018.24 × 268
  4. Step 4: Simplify right side
    678.88x = 272,888.32
  5. Step 5: Solve for x
    x = 272,888.32/678.88
  6. Step 6: Final answer
    x = 401.97

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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.