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Finding the Fourth Proportional to 513.76, 770.64 and 171.76

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Solution

The fourth proportional to 513.76, 770.64 and 171.76 is: 257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.76 : 770.64 = 171.76 : x
  2. Step 2: Convert to fraction form
    513.76/770.64 = 171.76/x
  3. Step 3: Cross multiply
    513.76x = 770.64 × 171.76
  4. Step 4: Simplify right side
    513.76x = 132,365.13
  5. Step 5: Solve for x
    x = 132,365.13/513.76
  6. Step 6: Final answer
    x = 257.64

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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.