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Finding the Fourth Proportional to 346.05, 516.67 and 311.49

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Solution

The fourth proportional to 346.05, 516.67 and 311.49 is: 465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.05 : 516.67 = 311.49 : x
  2. Step 2: Convert to fraction form
    346.05/516.67 = 311.49/x
  3. Step 3: Cross multiply
    346.05x = 516.67 × 311.49
  4. Step 4: Simplify right side
    346.05x = 160,936.76
  5. Step 5: Solve for x
    x = 160,936.76/346.05
  6. Step 6: Final answer
    x = 465.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.