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Finding the Fourth Proportional to 342.74, 471.82 and 296.75

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Solution

The fourth proportional to 342.74, 471.82 and 296.75 is: 408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.74 : 471.82 = 296.75 : x
  2. Step 2: Convert to fraction form
    342.74/471.82 = 296.75/x
  3. Step 3: Cross multiply
    342.74x = 471.82 × 296.75
  4. Step 4: Simplify right side
    342.74x = 140,009.48
  5. Step 5: Solve for x
    x = 140,009.48/342.74
  6. Step 6: Final answer
    x = 408.51

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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.