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Finding the Fourth Proportional to 516.52, 712.06 and 369.10

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Solution

The fourth proportional to 516.52, 712.06 and 369.10 is: 508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.52 : 712.06 = 369.10 : x
  2. Step 2: Convert to fraction form
    516.52/712.06 = 369.10/x
  3. Step 3: Cross multiply
    516.52x = 712.06 × 369.10
  4. Step 4: Simplify right side
    516.52x = 262,821.35
  5. Step 5: Solve for x
    x = 262,821.35/516.52
  6. Step 6: Final answer
    x = 508.83

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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.