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Finding the Fourth Proportional to 365.88, 545.49 and 324.84

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Solution

The fourth proportional to 365.88, 545.49 and 324.84 is: 484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.88 : 545.49 = 324.84 : x
  2. Step 2: Convert to fraction form
    365.88/545.49 = 324.84/x
  3. Step 3: Cross multiply
    365.88x = 545.49 × 324.84
  4. Step 4: Simplify right side
    365.88x = 177,196.97
  5. Step 5: Solve for x
    x = 177,196.97/365.88
  6. Step 6: Final answer
    x = 484.30

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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.