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Finding the Fourth Proportional to 586.56, 809.47 and 324.57

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Solution

The fourth proportional to 586.56, 809.47 and 324.57 is: 447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.56 : 809.47 = 324.57 : x
  2. Step 2: Convert to fraction form
    586.56/809.47 = 324.57/x
  3. Step 3: Cross multiply
    586.56x = 809.47 × 324.57
  4. Step 4: Simplify right side
    586.56x = 262,729.68
  5. Step 5: Solve for x
    x = 262,729.68/586.56
  6. Step 6: Final answer
    x = 447.92

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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.