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Finding the Fourth Proportional to 588.96, 882.09 and 466.20

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Solution

The fourth proportional to 588.96, 882.09 and 466.20 is: 698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 882.09 = 466.20 : x
  2. Step 2: Convert to fraction form
    588.96/882.09 = 466.20/x
  3. Step 3: Cross multiply
    588.96x = 882.09 × 466.20
  4. Step 4: Simplify right side
    588.96x = 411,230.36
  5. Step 5: Solve for x
    x = 411,230.36/588.96
  6. Step 6: Final answer
    x = 698.23

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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.