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Finding the Fourth Proportional to 589.85, 813.63 and 516.35

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Solution

The fourth proportional to 589.85, 813.63 and 516.35 is: 712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.85 : 813.63 = 516.35 : x
  2. Step 2: Convert to fraction form
    589.85/813.63 = 516.35/x
  3. Step 3: Cross multiply
    589.85x = 813.63 × 516.35
  4. Step 4: Simplify right side
    589.85x = 420,113.78
  5. Step 5: Solve for x
    x = 420,113.78/589.85
  6. Step 6: Final answer
    x = 712.24

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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.