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Finding the Fourth Proportional to 588.60, 812.34 and 577.80

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Solution

The fourth proportional to 588.60, 812.34 and 577.80 is: 797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 812.34 = 577.80 : x
  2. Step 2: Convert to fraction form
    588.60/812.34 = 577.80/x
  3. Step 3: Cross multiply
    588.60x = 812.34 × 577.80
  4. Step 4: Simplify right side
    588.60x = 469,370.05
  5. Step 5: Solve for x
    x = 469,370.05/588.60
  6. Step 6: Final answer
    x = 797.43

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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.