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Finding the Fourth Proportional to 516.08, 712.24 and 295.02

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Solution

The fourth proportional to 516.08, 712.24 and 295.02 is: 407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.08 : 712.24 = 295.02 : x
  2. Step 2: Convert to fraction form
    516.08/712.24 = 295.02/x
  3. Step 3: Cross multiply
    516.08x = 712.24 × 295.02
  4. Step 4: Simplify right side
    516.08x = 210,124.31
  5. Step 5: Solve for x
    x = 210,124.31/516.08
  6. Step 6: Final answer
    x = 407.15

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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.