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Finding the Fourth Proportional to 570.09, 786.74 and 321.40

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Solution

The fourth proportional to 570.09, 786.74 and 321.40 is: 443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.09 : 786.74 = 321.40 : x
  2. Step 2: Convert to fraction form
    570.09/786.74 = 321.40/x
  3. Step 3: Cross multiply
    570.09x = 786.74 × 321.40
  4. Step 4: Simplify right side
    570.09x = 252,857.61
  5. Step 5: Solve for x
    x = 252,857.61/570.09
  6. Step 6: Final answer
    x = 443.54

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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.