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Finding the Fourth Proportional to 377.09, 564.55 and 231.83

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Solution

The fourth proportional to 377.09, 564.55 and 231.83 is: 347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.09 : 564.55 = 231.83 : x
  2. Step 2: Convert to fraction form
    377.09/564.55 = 231.83/x
  3. Step 3: Cross multiply
    377.09x = 564.55 × 231.83
  4. Step 4: Simplify right side
    377.09x = 130,879.65
  5. Step 5: Solve for x
    x = 130,879.65/377.09
  6. Step 6: Final answer
    x = 347.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.