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Finding the Fourth Proportional to 588.80, 812.16 and 423.26

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Solution

The fourth proportional to 588.80, 812.16 and 423.26 is: 583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.80 : 812.16 = 423.26 : x
  2. Step 2: Convert to fraction form
    588.80/812.16 = 423.26/x
  3. Step 3: Cross multiply
    588.80x = 812.16 × 423.26
  4. Step 4: Simplify right side
    588.80x = 343,753.83
  5. Step 5: Solve for x
    x = 343,753.83/588.80
  6. Step 6: Final answer
    x = 583.82

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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.