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Finding the Fourth Proportional to 342.54, 471.99 and 324.15

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Solution

The fourth proportional to 342.54, 471.99 and 324.15 is: 446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.54 : 471.99 = 324.15 : x
  2. Step 2: Convert to fraction form
    342.54/471.99 = 324.15/x
  3. Step 3: Cross multiply
    342.54x = 471.99 × 324.15
  4. Step 4: Simplify right side
    342.54x = 152,995.56
  5. Step 5: Solve for x
    x = 152,995.56/342.54
  6. Step 6: Final answer
    x = 446.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.