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Finding the Fourth Proportional to 516.53, 714.17 and 493.58

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Solution

The fourth proportional to 516.53, 714.17 and 493.58 is: 682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.53 : 714.17 = 493.58 : x
  2. Step 2: Convert to fraction form
    516.53/714.17 = 493.58/x
  3. Step 3: Cross multiply
    516.53x = 714.17 × 493.58
  4. Step 4: Simplify right side
    516.53x = 352,500.03
  5. Step 5: Solve for x
    x = 352,500.03/516.53
  6. Step 6: Final answer
    x = 682.44

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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.