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Finding the Fourth Proportional to 342.09, 471.87 and 298.35

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Solution

The fourth proportional to 342.09, 471.87 and 298.35 is: 411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.09 : 471.87 = 298.35 : x
  2. Step 2: Convert to fraction form
    342.09/471.87 = 298.35/x
  3. Step 3: Cross multiply
    342.09x = 471.87 × 298.35
  4. Step 4: Simplify right side
    342.09x = 140,782.41
  5. Step 5: Solve for x
    x = 140,782.41/342.09
  6. Step 6: Final answer
    x = 411.54

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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.