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Finding the Fourth Proportional to 403.05, 604.46 and 129

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Solution

The fourth proportional to 403.05, 604.46 and 129 is: 193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.05 : 604.46 = 129 : x
  2. Step 2: Convert to fraction form
    403.05/604.46 = 129/x
  3. Step 3: Cross multiply
    403.05x = 604.46 × 129
  4. Step 4: Simplify right side
    403.05x = 77,975.34
  5. Step 5: Solve for x
    x = 77,975.34/403.05
  6. Step 6: Final answer
    x = 193.46

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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.