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Finding the Fourth Proportional to 342.38, 469.37 and 324.15

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Solution

The fourth proportional to 342.38, 469.37 and 324.15 is: 444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.38 : 469.37 = 324.15 : x
  2. Step 2: Convert to fraction form
    342.38/469.37 = 324.15/x
  3. Step 3: Cross multiply
    342.38x = 469.37 × 324.15
  4. Step 4: Simplify right side
    342.38x = 152,144.66
  5. Step 5: Solve for x
    x = 152,144.66/342.38
  6. Step 6: Final answer
    x = 444.38

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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.