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Finding the Fourth Proportional to 588.98, 806.80 and 582.50

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Solution

The fourth proportional to 588.98, 806.80 and 582.50 is: 797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.98 : 806.80 = 582.50 : x
  2. Step 2: Convert to fraction form
    588.98/806.80 = 582.50/x
  3. Step 3: Cross multiply
    588.98x = 806.80 × 582.50
  4. Step 4: Simplify right side
    588.98x = 469,961
  5. Step 5: Solve for x
    x = 469,961/588.98
  6. Step 6: Final answer
    x = 797.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.