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Finding the Fourth Proportional to 334.05, 461.50 and 311.00

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Solution

The fourth proportional to 334.05, 461.50 and 311.00 is: 429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.05 : 461.50 = 311.00 : x
  2. Step 2: Convert to fraction form
    334.05/461.50 = 311.00/x
  3. Step 3: Cross multiply
    334.05x = 461.50 × 311.00
  4. Step 4: Simplify right side
    334.05x = 143,523.42
  5. Step 5: Solve for x
    x = 143,523.42/334.05
  6. Step 6: Final answer
    x = 429.65

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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.