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Finding the Fourth Proportional to 570.22, 854.41 and 295.90

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Solution

The fourth proportional to 570.22, 854.41 and 295.90 is: 443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.22 : 854.41 = 295.90 : x
  2. Step 2: Convert to fraction form
    570.22/854.41 = 295.90/x
  3. Step 3: Cross multiply
    570.22x = 854.41 × 295.90
  4. Step 4: Simplify right side
    570.22x = 252,819.92
  5. Step 5: Solve for x
    x = 252,819.92/570.22
  6. Step 6: Final answer
    x = 443.37

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