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Finding the Fourth Proportional to 589.23, 882.77 and 434.30

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Solution

The fourth proportional to 589.23, 882.77 and 434.30 is: 650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.23 : 882.77 = 434.30 : x
  2. Step 2: Convert to fraction form
    589.23/882.77 = 434.30/x
  3. Step 3: Cross multiply
    589.23x = 882.77 × 434.30
  4. Step 4: Simplify right side
    589.23x = 383,380.43
  5. Step 5: Solve for x
    x = 383,380.43/589.23
  6. Step 6: Final answer
    x = 650.65

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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.