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Finding the Fourth Proportional to 516.72, 712.86 and 369.06

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Solution

The fourth proportional to 516.72, 712.86 and 369.06 is: 509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 712.86 = 369.06 : x
  2. Step 2: Convert to fraction form
    516.72/712.86 = 369.06/x
  3. Step 3: Cross multiply
    516.72x = 712.86 × 369.06
  4. Step 4: Simplify right side
    516.72x = 263,088.11
  5. Step 5: Solve for x
    x = 263,088.11/516.72
  6. Step 6: Final answer
    x = 509.15

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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.