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Finding the Fourth Proportional to 342.12, 513.14 and 324.34

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Solution

The fourth proportional to 342.12, 513.14 and 324.34 is: 486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.12 : 513.14 = 324.34 : x
  2. Step 2: Convert to fraction form
    342.12/513.14 = 324.34/x
  3. Step 3: Cross multiply
    342.12x = 513.14 × 324.34
  4. Step 4: Simplify right side
    342.12x = 166,431.83
  5. Step 5: Solve for x
    x = 166,431.83/342.12
  6. Step 6: Final answer
    x = 486.47

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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.