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Finding the Fourth Proportional to 334.15, 458.57 and 302.96

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Solution

The fourth proportional to 334.15, 458.57 and 302.96 is: 415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.15 : 458.57 = 302.96 : x
  2. Step 2: Convert to fraction form
    334.15/458.57 = 302.96/x
  3. Step 3: Cross multiply
    334.15x = 458.57 × 302.96
  4. Step 4: Simplify right side
    334.15x = 138,930.27
  5. Step 5: Solve for x
    x = 138,930.27/334.15
  6. Step 6: Final answer
    x = 415.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.