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Finding the Fourth Proportional to 518.09, 776.57 and 258.28

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Solution

The fourth proportional to 518.09, 776.57 and 258.28 is: 387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.09 : 776.57 = 258.28 : x
  2. Step 2: Convert to fraction form
    518.09/776.57 = 258.28/x
  3. Step 3: Cross multiply
    518.09x = 776.57 × 258.28
  4. Step 4: Simplify right side
    518.09x = 200,576.06
  5. Step 5: Solve for x
    x = 200,576.06/518.09
  6. Step 6: Final answer
    x = 387.14

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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.