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Finding the Fourth Proportional to 325.05, 486.89 and 301.81

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Solution

The fourth proportional to 325.05, 486.89 and 301.81 is: 452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.05 : 486.89 = 301.81 : x
  2. Step 2: Convert to fraction form
    325.05/486.89 = 301.81/x
  3. Step 3: Cross multiply
    325.05x = 486.89 × 301.81
  4. Step 4: Simplify right side
    325.05x = 146,948.79
  5. Step 5: Solve for x
    x = 146,948.79/325.05
  6. Step 6: Final answer
    x = 452.08

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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.