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Finding the Fourth Proportional to 516.16, 712.31 and 295.06

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Solution

The fourth proportional to 516.16, 712.31 and 295.06 is: 407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.16 : 712.31 = 295.06 : x
  2. Step 2: Convert to fraction form
    516.16/712.31 = 295.06/x
  3. Step 3: Cross multiply
    516.16x = 712.31 × 295.06
  4. Step 4: Simplify right side
    516.16x = 210,173.93
  5. Step 5: Solve for x
    x = 210,173.93/516.16
  6. Step 6: Final answer
    x = 407.19

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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.