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Finding the Fourth Proportional to 586.57, 809.43 and 324.53

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Solution

The fourth proportional to 586.57, 809.43 and 324.53 is: 447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.57 : 809.43 = 324.53 : x
  2. Step 2: Convert to fraction form
    586.57/809.43 = 324.53/x
  3. Step 3: Cross multiply
    586.57x = 809.43 × 324.53
  4. Step 4: Simplify right side
    586.57x = 262,684.32
  5. Step 5: Solve for x
    x = 262,684.32/586.57
  6. Step 6: Final answer
    x = 447.83

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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.