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Finding the Fourth Proportional to 516.19, 712.29 and 295.15

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Solution

The fourth proportional to 516.19, 712.29 and 295.15 is: 407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.19 : 712.29 = 295.15 : x
  2. Step 2: Convert to fraction form
    516.19/712.29 = 295.15/x
  3. Step 3: Cross multiply
    516.19x = 712.29 × 295.15
  4. Step 4: Simplify right side
    516.19x = 210,232.39
  5. Step 5: Solve for x
    x = 210,232.39/516.19
  6. Step 6: Final answer
    x = 407.28

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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.