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Finding the Fourth Proportional to 588.87, 813.38 and 414.99

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Solution

The fourth proportional to 588.87, 813.38 and 414.99 is: 573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.87 : 813.38 = 414.99 : x
  2. Step 2: Convert to fraction form
    588.87/813.38 = 414.99/x
  3. Step 3: Cross multiply
    588.87x = 813.38 × 414.99
  4. Step 4: Simplify right side
    588.87x = 337,542.49
  5. Step 5: Solve for x
    x = 337,542.49/588.87
  6. Step 6: Final answer
    x = 573.20

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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.