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Finding the Fourth Proportional to 589.38, 882.71 and 516.48

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Solution

The fourth proportional to 589.38, 882.71 and 516.48 is: 773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.38 : 882.71 = 516.48 : x
  2. Step 2: Convert to fraction form
    589.38/882.71 = 516.48/x
  3. Step 3: Cross multiply
    589.38x = 882.71 × 516.48
  4. Step 4: Simplify right side
    589.38x = 455,899.48
  5. Step 5: Solve for x
    x = 455,899.48/589.38
  6. Step 6: Final answer
    x = 773.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.