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Finding the Fourth Proportional to 588.05, 809.87 and 575.30

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Solution

The fourth proportional to 588.05, 809.87 and 575.30 is: 792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.05 : 809.87 = 575.30 : x
  2. Step 2: Convert to fraction form
    588.05/809.87 = 575.30/x
  3. Step 3: Cross multiply
    588.05x = 809.87 × 575.30
  4. Step 4: Simplify right side
    588.05x = 465,911.29
  5. Step 5: Solve for x
    x = 465,911.29/588.05
  6. Step 6: Final answer
    x = 792.30

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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.