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Finding the Fourth Proportional to 513.13, 709.06 and 388.57

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Solution

The fourth proportional to 513.13, 709.06 and 388.57 is: 536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.13 : 709.06 = 388.57 : x
  2. Step 2: Convert to fraction form
    513.13/709.06 = 388.57/x
  3. Step 3: Cross multiply
    513.13x = 709.06 × 388.57
  4. Step 4: Simplify right side
    513.13x = 275,519.44
  5. Step 5: Solve for x
    x = 275,519.44/513.13
  6. Step 6: Final answer
    x = 536.94

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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.