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Finding the Fourth Proportional to 570.27, 854.19 and 326.19

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Solution

The fourth proportional to 570.27, 854.19 and 326.19 is: 488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.27 : 854.19 = 326.19 : x
  2. Step 2: Convert to fraction form
    570.27/854.19 = 326.19/x
  3. Step 3: Cross multiply
    570.27x = 854.19 × 326.19
  4. Step 4: Simplify right side
    570.27x = 278,628.24
  5. Step 5: Solve for x
    x = 278,628.24/570.27
  6. Step 6: Final answer
    x = 488.59

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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.