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Finding the Fourth Proportional to 589.32, 813.27 and 323.77

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Solution

The fourth proportional to 589.32, 813.27 and 323.77 is: 446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.32 : 813.27 = 323.77 : x
  2. Step 2: Convert to fraction form
    589.32/813.27 = 323.77/x
  3. Step 3: Cross multiply
    589.32x = 813.27 × 323.77
  4. Step 4: Simplify right side
    589.32x = 263,312.43
  5. Step 5: Solve for x
    x = 263,312.43/589.32
  6. Step 6: Final answer
    x = 446.81

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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.