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Finding the Fourth Proportional to 513.96, 771.20 and 270.53

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Solution

The fourth proportional to 513.96, 771.20 and 270.53 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.96 : 771.20 = 270.53 : x
  2. Step 2: Convert to fraction form
    513.96/771.20 = 270.53/x
  3. Step 3: Cross multiply
    513.96x = 771.20 × 270.53
  4. Step 4: Simplify right side
    513.96x = 208,632.74
  5. Step 5: Solve for x
    x = 208,632.74/513.96
  6. Step 6: Final answer
    x = 405.93

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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.