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Finding the Fourth Proportional to 401.75, 599.11 and 365.54

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Solution

The fourth proportional to 401.75, 599.11 and 365.54 is: 545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.75 : 599.11 = 365.54 : x
  2. Step 2: Convert to fraction form
    401.75/599.11 = 365.54/x
  3. Step 3: Cross multiply
    401.75x = 599.11 × 365.54
  4. Step 4: Simplify right side
    401.75x = 218,998.67
  5. Step 5: Solve for x
    x = 218,998.67/401.75
  6. Step 6: Final answer
    x = 545.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.