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Finding the Fourth Proportional to 590.32, 882.04 and 516.20

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Solution

The fourth proportional to 590.32, 882.04 and 516.20 is: 771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.32 : 882.04 = 516.20 : x
  2. Step 2: Convert to fraction form
    590.32/882.04 = 516.20/x
  3. Step 3: Cross multiply
    590.32x = 882.04 × 516.20
  4. Step 4: Simplify right side
    590.32x = 455,309.05
  5. Step 5: Solve for x
    x = 455,309.05/590.32
  6. Step 6: Final answer
    x = 771.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.