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Finding the Fourth Proportional to 513.74, 709.26 and 408.65

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Solution

The fourth proportional to 513.74, 709.26 and 408.65 is: 564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.74 : 709.26 = 408.65 : x
  2. Step 2: Convert to fraction form
    513.74/709.26 = 408.65/x
  3. Step 3: Cross multiply
    513.74x = 709.26 × 408.65
  4. Step 4: Simplify right side
    513.74x = 289,834.02
  5. Step 5: Solve for x
    x = 289,834.02/513.74
  6. Step 6: Final answer
    x = 564.16

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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.