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Finding the Fourth Proportional to 589.12, 882.84 and 433.83

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Solution

The fourth proportional to 589.12, 882.84 and 433.83 is: 650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.12 : 882.84 = 433.83 : x
  2. Step 2: Convert to fraction form
    589.12/882.84 = 433.83/x
  3. Step 3: Cross multiply
    589.12x = 882.84 × 433.83
  4. Step 4: Simplify right side
    589.12x = 383,004.10
  5. Step 5: Solve for x
    x = 383,004.10/589.12
  6. Step 6: Final answer
    x = 650.13

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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.