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Finding the Fourth Proportional to 428.40, 642.87 and 306.90

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Solution

The fourth proportional to 428.40, 642.87 and 306.90 is: 460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.40 : 642.87 = 306.90 : x
  2. Step 2: Convert to fraction form
    428.40/642.87 = 306.90/x
  3. Step 3: Cross multiply
    428.40x = 642.87 × 306.90
  4. Step 4: Simplify right side
    428.40x = 197,296.80
  5. Step 5: Solve for x
    x = 197,296.80/428.40
  6. Step 6: Final answer
    x = 460.54

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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.