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Finding the Fourth Proportional to 516.54, 714.39 and 461.18

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Solution

The fourth proportional to 516.54, 714.39 and 461.18 is: 637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.54 : 714.39 = 461.18 : x
  2. Step 2: Convert to fraction form
    516.54/714.39 = 461.18/x
  3. Step 3: Cross multiply
    516.54x = 714.39 × 461.18
  4. Step 4: Simplify right side
    516.54x = 329,458.81
  5. Step 5: Solve for x
    x = 329,458.81/516.54
  6. Step 6: Final answer
    x = 637.82

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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.