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Finding the Fourth Proportional to 377.44, 564.84 and 231.16

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Solution

The fourth proportional to 377.44, 564.84 and 231.16 is: 345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.44 : 564.84 = 231.16 : x
  2. Step 2: Convert to fraction form
    377.44/564.84 = 231.16/x
  3. Step 3: Cross multiply
    377.44x = 564.84 × 231.16
  4. Step 4: Simplify right side
    377.44x = 130,568.41
  5. Step 5: Solve for x
    x = 130,568.41/377.44
  6. Step 6: Final answer
    x = 345.93

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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.