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Finding the Fourth Proportional to 516.52, 713.12 and 461.16

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Solution

The fourth proportional to 516.52, 713.12 and 461.16 is: 636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.52 : 713.12 = 461.16 : x
  2. Step 2: Convert to fraction form
    516.52/713.12 = 461.16/x
  3. Step 3: Cross multiply
    516.52x = 713.12 × 461.16
  4. Step 4: Simplify right side
    516.52x = 328,862.42
  5. Step 5: Solve for x
    x = 328,862.42/516.52
  6. Step 6: Final answer
    x = 636.69

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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.