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Finding the Fourth Proportional to 335.35, 462.40 and 298.45

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Solution

The fourth proportional to 335.35, 462.40 and 298.45 is: 411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.35 : 462.40 = 298.45 : x
  2. Step 2: Convert to fraction form
    335.35/462.40 = 298.45/x
  3. Step 3: Cross multiply
    335.35x = 462.40 × 298.45
  4. Step 4: Simplify right side
    335.35x = 138,003.28
  5. Step 5: Solve for x
    x = 138,003.28/335.35
  6. Step 6: Final answer
    x = 411.52

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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.