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Finding the Fourth Proportional to 516.64, 712.98 and 295.57

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Solution

The fourth proportional to 516.64, 712.98 and 295.57 is: 407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.64 : 712.98 = 295.57 : x
  2. Step 2: Convert to fraction form
    516.64/712.98 = 295.57/x
  3. Step 3: Cross multiply
    516.64x = 712.98 × 295.57
  4. Step 4: Simplify right side
    516.64x = 210,735.50
  5. Step 5: Solve for x
    x = 210,735.50/516.64
  6. Step 6: Final answer
    x = 407.90

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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.