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Finding the Fourth Proportional to 342.24, 471.96 and 259.44

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Solution

The fourth proportional to 342.24, 471.96 and 259.44 is: 357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 471.96 = 259.44 : x
  2. Step 2: Convert to fraction form
    342.24/471.96 = 259.44/x
  3. Step 3: Cross multiply
    342.24x = 471.96 × 259.44
  4. Step 4: Simplify right side
    342.24x = 122,445.30
  5. Step 5: Solve for x
    x = 122,445.30/342.24
  6. Step 6: Final answer
    x = 357.78

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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.