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Finding the Fourth Proportional to 428.76, 643.50 and 246.54

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Solution

The fourth proportional to 428.76, 643.50 and 246.54 is: 370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.76 : 643.50 = 246.54 : x
  2. Step 2: Convert to fraction form
    428.76/643.50 = 246.54/x
  3. Step 3: Cross multiply
    428.76x = 643.50 × 246.54
  4. Step 4: Simplify right side
    428.76x = 158,648.49
  5. Step 5: Solve for x
    x = 158,648.49/428.76
  6. Step 6: Final answer
    x = 370.02

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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.