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Finding the Fourth Proportional to 518.28, 776.49 and 505.51

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Solution

The fourth proportional to 518.28, 776.49 and 505.51 is: 757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.28 : 776.49 = 505.51 : x
  2. Step 2: Convert to fraction form
    518.28/776.49 = 505.51/x
  3. Step 3: Cross multiply
    518.28x = 776.49 × 505.51
  4. Step 4: Simplify right side
    518.28x = 392,523.46
  5. Step 5: Solve for x
    x = 392,523.46/518.28
  6. Step 6: Final answer
    x = 757.36

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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.