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Finding the Fourth Proportional to 586.37, 809.19 and 324.38

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Solution

The fourth proportional to 586.37, 809.19 and 324.38 is: 447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.37 : 809.19 = 324.38 : x
  2. Step 2: Convert to fraction form
    586.37/809.19 = 324.38/x
  3. Step 3: Cross multiply
    586.37x = 809.19 × 324.38
  4. Step 4: Simplify right side
    586.37x = 262,481.01
  5. Step 5: Solve for x
    x = 262,481.01/586.37
  6. Step 6: Final answer
    x = 447.64

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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.