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Finding the Fourth Proportional to 588.80, 812.28 and 501.44

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Solution

The fourth proportional to 588.80, 812.28 and 501.44 is: 691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.80 : 812.28 = 501.44 : x
  2. Step 2: Convert to fraction form
    588.80/812.28 = 501.44/x
  3. Step 3: Cross multiply
    588.80x = 812.28 × 501.44
  4. Step 4: Simplify right side
    588.80x = 407,309.68
  5. Step 5: Solve for x
    x = 407,309.68/588.80
  6. Step 6: Final answer
    x = 691.76

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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.