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Finding the Fourth Proportional to 603.20, 834.72 and 588.80

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Solution

The fourth proportional to 603.20, 834.72 and 588.80 is: 814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.20 : 834.72 = 588.80 : x
  2. Step 2: Convert to fraction form
    603.20/834.72 = 588.80/x
  3. Step 3: Cross multiply
    603.20x = 834.72 × 588.80
  4. Step 4: Simplify right side
    603.20x = 491,483.14
  5. Step 5: Solve for x
    x = 491,483.14/603.20
  6. Step 6: Final answer
    x = 814.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.