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Finding the Fourth Proportional to 428.36, 643.02 and 172.04

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Solution

The fourth proportional to 428.36, 643.02 and 172.04 is: 258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.36 : 643.02 = 172.04 : x
  2. Step 2: Convert to fraction form
    428.36/643.02 = 172.04/x
  3. Step 3: Cross multiply
    428.36x = 643.02 × 172.04
  4. Step 4: Simplify right side
    428.36x = 110,625.16
  5. Step 5: Solve for x
    x = 110,625.16/428.36
  6. Step 6: Final answer
    x = 258.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.