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Finding the Fourth Proportional to 428.42, 642.70 and 185.02

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Solution

The fourth proportional to 428.42, 642.70 and 185.02 is: 277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.42 : 642.70 = 185.02 : x
  2. Step 2: Convert to fraction form
    428.42/642.70 = 185.02/x
  3. Step 3: Cross multiply
    428.42x = 642.70 × 185.02
  4. Step 4: Simplify right side
    428.42x = 118,912.35
  5. Step 5: Solve for x
    x = 118,912.35/428.42
  6. Step 6: Final answer
    x = 277.56

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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.