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Finding the Fourth Proportional to 451.50, 677.69 and 304.78

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Solution

The fourth proportional to 451.50, 677.69 and 304.78 is: 457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.50 : 677.69 = 304.78 : x
  2. Step 2: Convert to fraction form
    451.50/677.69 = 304.78/x
  3. Step 3: Cross multiply
    451.50x = 677.69 × 304.78
  4. Step 4: Simplify right side
    451.50x = 206,546.36
  5. Step 5: Solve for x
    x = 206,546.36/451.50
  6. Step 6: Final answer
    x = 457.47

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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.