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Finding the Fourth Proportional to 588.33, 817.34 and 582.98

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Solution

The fourth proportional to 588.33, 817.34 and 582.98 is: 809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.33 : 817.34 = 582.98 : x
  2. Step 2: Convert to fraction form
    588.33/817.34 = 582.98/x
  3. Step 3: Cross multiply
    588.33x = 817.34 × 582.98
  4. Step 4: Simplify right side
    588.33x = 476,488.79
  5. Step 5: Solve for x
    x = 476,488.79/588.33
  6. Step 6: Final answer
    x = 809.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.