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Finding the Fourth Proportional to 513.65, 708.54 and 365.96

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Solution

The fourth proportional to 513.65, 708.54 and 365.96 is: 504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.65 : 708.54 = 365.96 : x
  2. Step 2: Convert to fraction form
    513.65/708.54 = 365.96/x
  3. Step 3: Cross multiply
    513.65x = 708.54 × 365.96
  4. Step 4: Simplify right side
    513.65x = 259,297.30
  5. Step 5: Solve for x
    x = 259,297.30/513.65
  6. Step 6: Final answer
    x = 504.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.