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Finding the Fourth Proportional to 428.65, 641.23 and 371.53

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Solution

The fourth proportional to 428.65, 641.23 and 371.53 is: 555.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.65 : 641.23 = 371.53 : x
  2. Step 2: Convert to fraction form
    428.65/641.23 = 371.53/x
  3. Step 3: Cross multiply
    428.65x = 641.23 × 371.53
  4. Step 4: Simplify right side
    428.65x = 238,236.18
  5. Step 5: Solve for x
    x = 238,236.18/428.65
  6. Step 6: Final answer
    x = 555.78

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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.