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Finding the Fourth Proportional to 403.40, 604.56 and 172.08

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Solution

The fourth proportional to 403.40, 604.56 and 172.08 is: 257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.40 : 604.56 = 172.08 : x
  2. Step 2: Convert to fraction form
    403.40/604.56 = 172.08/x
  3. Step 3: Cross multiply
    403.40x = 604.56 × 172.08
  4. Step 4: Simplify right side
    403.40x = 104,032.68
  5. Step 5: Solve for x
    x = 104,032.68/403.40
  6. Step 6: Final answer
    x = 257.89

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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.