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Finding the Fourth Proportional to 570.32, 852.92 and 338.56

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Solution

The fourth proportional to 570.32, 852.92 and 338.56 is: 506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.32 : 852.92 = 338.56 : x
  2. Step 2: Convert to fraction form
    570.32/852.92 = 338.56/x
  3. Step 3: Cross multiply
    570.32x = 852.92 × 338.56
  4. Step 4: Simplify right side
    570.32x = 288,764.60
  5. Step 5: Solve for x
    x = 288,764.60/570.32
  6. Step 6: Final answer
    x = 506.32

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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.