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Finding the Fourth Proportional to 589.59, 813.66 and 327.63

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Solution

The fourth proportional to 589.59, 813.66 and 327.63 is: 452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.59 : 813.66 = 327.63 : x
  2. Step 2: Convert to fraction form
    589.59/813.66 = 327.63/x
  3. Step 3: Cross multiply
    589.59x = 813.66 × 327.63
  4. Step 4: Simplify right side
    589.59x = 266,579.43
  5. Step 5: Solve for x
    x = 266,579.43/589.59
  6. Step 6: Final answer
    x = 452.14

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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.