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Finding the Fourth Proportional to 586.27, 809.06 and 324.29

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Solution

The fourth proportional to 586.27, 809.06 and 324.29 is: 447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.27 : 809.06 = 324.29 : x
  2. Step 2: Convert to fraction form
    586.27/809.06 = 324.29/x
  3. Step 3: Cross multiply
    586.27x = 809.06 × 324.29
  4. Step 4: Simplify right side
    586.27x = 262,365.21
  5. Step 5: Solve for x
    x = 262,365.21/586.27
  6. Step 6: Final answer
    x = 447.52

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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.