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Finding the Fourth Proportional to 589.72, 813.81 and 324.16

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Solution

The fourth proportional to 589.72, 813.81 and 324.16 is: 447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.72 : 813.81 = 324.16 : x
  2. Step 2: Convert to fraction form
    589.72/813.81 = 324.16/x
  3. Step 3: Cross multiply
    589.72x = 813.81 × 324.16
  4. Step 4: Simplify right side
    589.72x = 263,804.65
  5. Step 5: Solve for x
    x = 263,804.65/589.72
  6. Step 6: Final answer
    x = 447.34

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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.