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Finding the Fourth Proportional to 516.30, 712.54 and 295.26

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Solution

The fourth proportional to 516.30, 712.54 and 295.26 is: 407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.30 : 712.54 = 295.26 : x
  2. Step 2: Convert to fraction form
    516.30/712.54 = 295.26/x
  3. Step 3: Cross multiply
    516.30x = 712.54 × 295.26
  4. Step 4: Simplify right side
    516.30x = 210,384.56
  5. Step 5: Solve for x
    x = 210,384.56/516.30
  6. Step 6: Final answer
    x = 407.49

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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.