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Finding the Fourth Proportional to 570.20, 852.87 and 350.29

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Solution

The fourth proportional to 570.20, 852.87 and 350.29 is: 523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.20 : 852.87 = 350.29 : x
  2. Step 2: Convert to fraction form
    570.20/852.87 = 350.29/x
  3. Step 3: Cross multiply
    570.20x = 852.87 × 350.29
  4. Step 4: Simplify right side
    570.20x = 298,750.58
  5. Step 5: Solve for x
    x = 298,750.58/570.20
  6. Step 6: Final answer
    x = 523.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.