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Finding the Fourth Proportional to 589.34, 814.12 and 441.66

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Solution

The fourth proportional to 589.34, 814.12 and 441.66 is: 610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.34 : 814.12 = 441.66 : x
  2. Step 2: Convert to fraction form
    589.34/814.12 = 441.66/x
  3. Step 3: Cross multiply
    589.34x = 814.12 × 441.66
  4. Step 4: Simplify right side
    589.34x = 359,564.24
  5. Step 5: Solve for x
    x = 359,564.24/589.34
  6. Step 6: Final answer
    x = 610.11

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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.