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Finding the Fourth Proportional to 518.12, 776.74 and 301.44

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Solution

The fourth proportional to 518.12, 776.74 and 301.44 is: 451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.12 : 776.74 = 301.44 : x
  2. Step 2: Convert to fraction form
    518.12/776.74 = 301.44/x
  3. Step 3: Cross multiply
    518.12x = 776.74 × 301.44
  4. Step 4: Simplify right side
    518.12x = 234,140.51
  5. Step 5: Solve for x
    x = 234,140.51/518.12
  6. Step 6: Final answer
    x = 451.90

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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.