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Finding the Fourth Proportional to 334.99, 461.82 and 230.05

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Solution

The fourth proportional to 334.99, 461.82 and 230.05 is: 317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.99 : 461.82 = 230.05 : x
  2. Step 2: Convert to fraction form
    334.99/461.82 = 230.05/x
  3. Step 3: Cross multiply
    334.99x = 461.82 × 230.05
  4. Step 4: Simplify right side
    334.99x = 106,241.69
  5. Step 5: Solve for x
    x = 106,241.69/334.99
  6. Step 6: Final answer
    x = 317.15

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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.