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Finding the Fourth Proportional to 516.87, 714.30 and 423.47

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Solution

The fourth proportional to 516.87, 714.30 and 423.47 is: 585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.87 : 714.30 = 423.47 : x
  2. Step 2: Convert to fraction form
    516.87/714.30 = 423.47/x
  3. Step 3: Cross multiply
    516.87x = 714.30 × 423.47
  4. Step 4: Simplify right side
    516.87x = 302,481.05
  5. Step 5: Solve for x
    x = 302,481.05/516.87
  6. Step 6: Final answer
    x = 585.22

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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.