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Finding the Fourth Proportional to 403.23, 604.82 and 325.77

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Solution

The fourth proportional to 403.23, 604.82 and 325.77 is: 488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.23 : 604.82 = 325.77 : x
  2. Step 2: Convert to fraction form
    403.23/604.82 = 325.77/x
  3. Step 3: Cross multiply
    403.23x = 604.82 × 325.77
  4. Step 4: Simplify right side
    403.23x = 197,032.33
  5. Step 5: Solve for x
    x = 197,032.33/403.23
  6. Step 6: Final answer
    x = 488.64

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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.