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Finding the Fourth Proportional to 588.20, 882.90 and 459.60

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Solution

The fourth proportional to 588.20, 882.90 and 459.60 is: 689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.20 : 882.90 = 459.60 : x
  2. Step 2: Convert to fraction form
    588.20/882.90 = 459.60/x
  3. Step 3: Cross multiply
    588.20x = 882.90 × 459.60
  4. Step 4: Simplify right side
    588.20x = 405,780.84
  5. Step 5: Solve for x
    x = 405,780.84/588.20
  6. Step 6: Final answer
    x = 689.87

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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.