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Finding the Fourth Proportional to 513.54, 707.99 and 408.96

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Solution

The fourth proportional to 513.54, 707.99 and 408.96 is: 563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.54 : 707.99 = 408.96 : x
  2. Step 2: Convert to fraction form
    513.54/707.99 = 408.96/x
  3. Step 3: Cross multiply
    513.54x = 707.99 × 408.96
  4. Step 4: Simplify right side
    513.54x = 289,537.55
  5. Step 5: Solve for x
    x = 289,537.55/513.54
  6. Step 6: Final answer
    x = 563.81

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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.