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Finding the Fourth Proportional to 334.36, 462 and 301.96

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Solution

The fourth proportional to 334.36, 462 and 301.96 is: 417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.36 : 462 = 301.96 : x
  2. Step 2: Convert to fraction form
    334.36/462 = 301.96/x
  3. Step 3: Cross multiply
    334.36x = 462 × 301.96
  4. Step 4: Simplify right side
    334.36x = 139,505.52
  5. Step 5: Solve for x
    x = 139,505.52/334.36
  6. Step 6: Final answer
    x = 417.23

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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.