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Finding the Fourth Proportional to 586.55, 809.44 and 324.56

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Solution

The fourth proportional to 586.55, 809.44 and 324.56 is: 447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.55 : 809.44 = 324.56 : x
  2. Step 2: Convert to fraction form
    586.55/809.44 = 324.56/x
  3. Step 3: Cross multiply
    586.55x = 809.44 × 324.56
  4. Step 4: Simplify right side
    586.55x = 262,713.06
  5. Step 5: Solve for x
    x = 262,713.06/586.55
  6. Step 6: Final answer
    x = 447.89

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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.