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Finding the Fourth Proportional to 518.01, 776.80 and 257.91

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Solution

The fourth proportional to 518.01, 776.80 and 257.91 is: 386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.01 : 776.80 = 257.91 : x
  2. Step 2: Convert to fraction form
    518.01/776.80 = 257.91/x
  3. Step 3: Cross multiply
    518.01x = 776.80 × 257.91
  4. Step 4: Simplify right side
    518.01x = 200,344.49
  5. Step 5: Solve for x
    x = 200,344.49/518.01
  6. Step 6: Final answer
    x = 386.76

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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.