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Finding the Fourth Proportional to 428.53, 642.80 and 172.03

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Solution

The fourth proportional to 428.53, 642.80 and 172.03 is: 258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.53 : 642.80 = 172.03 : x
  2. Step 2: Convert to fraction form
    428.53/642.80 = 172.03/x
  3. Step 3: Cross multiply
    428.53x = 642.80 × 172.03
  4. Step 4: Simplify right side
    428.53x = 110,581.47
  5. Step 5: Solve for x
    x = 110,581.47/428.53
  6. Step 6: Final answer
    x = 258.05

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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.