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Finding the Fourth Proportional to 403.51, 604.92 and 172.19

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Solution

The fourth proportional to 403.51, 604.92 and 172.19 is: 258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.51 : 604.92 = 172.19 : x
  2. Step 2: Convert to fraction form
    403.51/604.92 = 172.19/x
  3. Step 3: Cross multiply
    403.51x = 604.92 × 172.19
  4. Step 4: Simplify right side
    403.51x = 104,161.61
  5. Step 5: Solve for x
    x = 104,161.61/403.51
  6. Step 6: Final answer
    x = 258.14

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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.