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Finding the Fourth Proportional to 516.80, 712.68 and 429.20

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Solution

The fourth proportional to 516.80, 712.68 and 429.20 is: 591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.80 : 712.68 = 429.20 : x
  2. Step 2: Convert to fraction form
    516.80/712.68 = 429.20/x
  3. Step 3: Cross multiply
    516.80x = 712.68 × 429.20
  4. Step 4: Simplify right side
    516.80x = 305,882.26
  5. Step 5: Solve for x
    x = 305,882.26/516.80
  6. Step 6: Final answer
    x = 591.88

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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.