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Finding the Fourth Proportional to 588.06, 808.22 and 571.66

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Solution

The fourth proportional to 588.06, 808.22 and 571.66 is: 785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.06 : 808.22 = 571.66 : x
  2. Step 2: Convert to fraction form
    588.06/808.22 = 571.66/x
  3. Step 3: Cross multiply
    588.06x = 808.22 × 571.66
  4. Step 4: Simplify right side
    588.06x = 462,027.05
  5. Step 5: Solve for x
    x = 462,027.05/588.06
  6. Step 6: Final answer
    x = 785.68

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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.