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Finding the Fourth Proportional to 428, 642 and 171.50

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Solution

The fourth proportional to 428, 642 and 171.50 is: 257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428 : 642 = 171.50 : x
  2. Step 2: Convert to fraction form
    428/642 = 171.50/x
  3. Step 3: Cross multiply
    428x = 642 × 171.50
  4. Step 4: Simplify right side
    428x = 110,103
  5. Step 5: Solve for x
    x = 110,103/428
  6. Step 6: Final answer
    x = 257.25

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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.