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Finding the Fourth Proportional to 513.57, 709.06 and 395.33

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Solution

The fourth proportional to 513.57, 709.06 and 395.33 is: 545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 709.06 = 395.33 : x
  2. Step 2: Convert to fraction form
    513.57/709.06 = 395.33/x
  3. Step 3: Cross multiply
    513.57x = 709.06 × 395.33
  4. Step 4: Simplify right side
    513.57x = 280,312.69
  5. Step 5: Solve for x
    x = 280,312.69/513.57
  6. Step 6: Final answer
    x = 545.82

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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.