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Finding the Fourth Proportional to 362.25, 539.95 and 323

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Solution

The fourth proportional to 362.25, 539.95 and 323 is: 481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.25 : 539.95 = 323 : x
  2. Step 2: Convert to fraction form
    362.25/539.95 = 323/x
  3. Step 3: Cross multiply
    362.25x = 539.95 × 323
  4. Step 4: Simplify right side
    362.25x = 174,403.85
  5. Step 5: Solve for x
    x = 174,403.85/362.25
  6. Step 6: Final answer
    x = 481.45

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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.