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Finding the Fourth Proportional to 518.44, 778.40 and 446.28

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Solution

The fourth proportional to 518.44, 778.40 and 446.28 is: 670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.44 : 778.40 = 446.28 : x
  2. Step 2: Convert to fraction form
    518.44/778.40 = 446.28/x
  3. Step 3: Cross multiply
    518.44x = 778.40 × 446.28
  4. Step 4: Simplify right side
    518.44x = 347,384.35
  5. Step 5: Solve for x
    x = 347,384.35/518.44
  6. Step 6: Final answer
    x = 670.06

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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.