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Finding the Fourth Proportional to 570.15, 786.89 and 321.49

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Solution

The fourth proportional to 570.15, 786.89 and 321.49 is: 443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.15 : 786.89 = 321.49 : x
  2. Step 2: Convert to fraction form
    570.15/786.89 = 321.49/x
  3. Step 3: Cross multiply
    570.15x = 786.89 × 321.49
  4. Step 4: Simplify right side
    570.15x = 252,979.05
  5. Step 5: Solve for x
    x = 252,979.05/570.15
  6. Step 6: Final answer
    x = 443.71

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Why These Related Problems?

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