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Finding the Fourth Proportional to 589.82, 884.73 and 406.66

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Solution

The fourth proportional to 589.82, 884.73 and 406.66 is: 609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.82 : 884.73 = 406.66 : x
  2. Step 2: Convert to fraction form
    589.82/884.73 = 406.66/x
  3. Step 3: Cross multiply
    589.82x = 884.73 × 406.66
  4. Step 4: Simplify right side
    589.82x = 359,784.30
  5. Step 5: Solve for x
    x = 359,784.30/589.82
  6. Step 6: Final answer
    x = 609.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.