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Finding the Fourth Proportional to 589.17, 813.59 and 441.54

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Solution

The fourth proportional to 589.17, 813.59 and 441.54 is: 609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.17 : 813.59 = 441.54 : x
  2. Step 2: Convert to fraction form
    589.17/813.59 = 441.54/x
  3. Step 3: Cross multiply
    589.17x = 813.59 × 441.54
  4. Step 4: Simplify right side
    589.17x = 359,236.68
  5. Step 5: Solve for x
    x = 359,236.68/589.17
  6. Step 6: Final answer
    x = 609.74

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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.