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Finding the Fourth Proportional to 570.29, 786.93 and 321.65

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Solution

The fourth proportional to 570.29, 786.93 and 321.65 is: 443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.29 : 786.93 = 321.65 : x
  2. Step 2: Convert to fraction form
    570.29/786.93 = 321.65/x
  3. Step 3: Cross multiply
    570.29x = 786.93 × 321.65
  4. Step 4: Simplify right side
    570.29x = 253,112.10
  5. Step 5: Solve for x
    x = 253,112.10/570.29
  6. Step 6: Final answer
    x = 443.83

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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.