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Finding the Fourth Proportional to 335.40, 446.37 and 335.40

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Solution

The fourth proportional to 335.40, 446.37 and 335.40 is: 446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.40 : 446.37 = 335.40 : x
  2. Step 2: Convert to fraction form
    335.40/446.37 = 335.40/x
  3. Step 3: Cross multiply
    335.40x = 446.37 × 335.40
  4. Step 4: Simplify right side
    335.40x = 149,712.50
  5. Step 5: Solve for x
    x = 149,712.50/335.40
  6. Step 6: Final answer
    x = 446.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.