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Finding the Fourth Proportional to 516.48, 710.64 and 422.88

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Solution

The fourth proportional to 516.48, 710.64 and 422.88 is: 581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.48 : 710.64 = 422.88 : x
  2. Step 2: Convert to fraction form
    516.48/710.64 = 422.88/x
  3. Step 3: Cross multiply
    516.48x = 710.64 × 422.88
  4. Step 4: Simplify right side
    516.48x = 300,515.44
  5. Step 5: Solve for x
    x = 300,515.44/516.48
  6. Step 6: Final answer
    x = 581.85

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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.