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Finding the Fourth Proportional to 570.23, 786.97 and 321.57

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Solution

The fourth proportional to 570.23, 786.97 and 321.57 is: 443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.23 : 786.97 = 321.57 : x
  2. Step 2: Convert to fraction form
    570.23/786.97 = 321.57/x
  3. Step 3: Cross multiply
    570.23x = 786.97 × 321.57
  4. Step 4: Simplify right side
    570.23x = 253,065.94
  5. Step 5: Solve for x
    x = 253,065.94/570.23
  6. Step 6: Final answer
    x = 443.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.