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Finding the Fourth Proportional to 428.54, 641.88 and 355.05

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Solution

The fourth proportional to 428.54, 641.88 and 355.05 is: 531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.54 : 641.88 = 355.05 : x
  2. Step 2: Convert to fraction form
    428.54/641.88 = 355.05/x
  3. Step 3: Cross multiply
    428.54x = 641.88 × 355.05
  4. Step 4: Simplify right side
    428.54x = 227,899.49
  5. Step 5: Solve for x
    x = 227,899.49/428.54
  6. Step 6: Final answer
    x = 531.81

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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.