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Finding the Fourth Proportional to 342.48, 469.12 and 329.52

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Solution

The fourth proportional to 342.48, 469.12 and 329.52 is: 451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.48 : 469.12 = 329.52 : x
  2. Step 2: Convert to fraction form
    342.48/469.12 = 329.52/x
  3. Step 3: Cross multiply
    342.48x = 469.12 × 329.52
  4. Step 4: Simplify right side
    342.48x = 154,584.42
  5. Step 5: Solve for x
    x = 154,584.42/342.48
  6. Step 6: Final answer
    x = 451.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.