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Finding the Fourth Proportional to 589.30, 882.81 and 457.63

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Solution

The fourth proportional to 589.30, 882.81 and 457.63 is: 685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.30 : 882.81 = 457.63 : x
  2. Step 2: Convert to fraction form
    589.30/882.81 = 457.63/x
  3. Step 3: Cross multiply
    589.30x = 882.81 × 457.63
  4. Step 4: Simplify right side
    589.30x = 404,000.34
  5. Step 5: Solve for x
    x = 404,000.34/589.30
  6. Step 6: Final answer
    x = 685.56

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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.