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Finding the Fourth Proportional to 451.84, 678 and 208.24

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Solution

The fourth proportional to 451.84, 678 and 208.24 is: 312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.84 : 678 = 208.24 : x
  2. Step 2: Convert to fraction form
    451.84/678 = 208.24/x
  3. Step 3: Cross multiply
    451.84x = 678 × 208.24
  4. Step 4: Simplify right side
    451.84x = 141,186.72
  5. Step 5: Solve for x
    x = 141,186.72/451.84
  6. Step 6: Final answer
    x = 312.47

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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.