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Finding the Fourth Proportional to 516.06, 776.06 and 412.19

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Solution

The fourth proportional to 516.06, 776.06 and 412.19 is: 619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.06 : 776.06 = 412.19 : x
  2. Step 2: Convert to fraction form
    516.06/776.06 = 412.19/x
  3. Step 3: Cross multiply
    516.06x = 776.06 × 412.19
  4. Step 4: Simplify right side
    516.06x = 319,884.17
  5. Step 5: Solve for x
    x = 319,884.17/516.06
  6. Step 6: Final answer
    x = 619.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.