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Finding the Fourth Proportional to 403.09, 604.60 and 143.03

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Solution

The fourth proportional to 403.09, 604.60 and 143.03 is: 214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.09 : 604.60 = 143.03 : x
  2. Step 2: Convert to fraction form
    403.09/604.60 = 143.03/x
  3. Step 3: Cross multiply
    403.09x = 604.60 × 143.03
  4. Step 4: Simplify right side
    403.09x = 86,477.09
  5. Step 5: Solve for x
    x = 86,477.09/403.09
  6. Step 6: Final answer
    x = 214.54

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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.