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Finding the Fourth Proportional to 516.47, 712.74 and 283.59

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Solution

The fourth proportional to 516.47, 712.74 and 283.59 is: 391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.47 : 712.74 = 283.59 : x
  2. Step 2: Convert to fraction form
    516.47/712.74 = 283.59/x
  3. Step 3: Cross multiply
    516.47x = 712.74 × 283.59
  4. Step 4: Simplify right side
    516.47x = 202,125.94
  5. Step 5: Solve for x
    x = 202,125.94/516.47
  6. Step 6: Final answer
    x = 391.36

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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.