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Finding the Fourth Proportional to 513.98, 773.81 and 352.72

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Solution

The fourth proportional to 513.98, 773.81 and 352.72 is: 531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.98 : 773.81 = 352.72 : x
  2. Step 2: Convert to fraction form
    513.98/773.81 = 352.72/x
  3. Step 3: Cross multiply
    513.98x = 773.81 × 352.72
  4. Step 4: Simplify right side
    513.98x = 272,939.78
  5. Step 5: Solve for x
    x = 272,939.78/513.98
  6. Step 6: Final answer
    x = 531.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.