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Finding the Fourth Proportional to 516.57, 712.88 and 295.52

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Solution

The fourth proportional to 516.57, 712.88 and 295.52 is: 407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.57 : 712.88 = 295.52 : x
  2. Step 2: Convert to fraction form
    516.57/712.88 = 295.52/x
  3. Step 3: Cross multiply
    516.57x = 712.88 × 295.52
  4. Step 4: Simplify right side
    516.57x = 210,665.26
  5. Step 5: Solve for x
    x = 210,665.26/516.57
  6. Step 6: Final answer
    x = 407.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.