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Finding the Fourth Proportional to 513.24, 708.44 and 408.52

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Solution

The fourth proportional to 513.24, 708.44 and 408.52 is: 563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 708.44 = 408.52 : x
  2. Step 2: Convert to fraction form
    513.24/708.44 = 408.52/x
  3. Step 3: Cross multiply
    513.24x = 708.44 × 408.52
  4. Step 4: Simplify right side
    513.24x = 289,411.91
  5. Step 5: Solve for x
    x = 289,411.91/513.24
  6. Step 6: Final answer
    x = 563.89

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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.