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Finding the Fourth Proportional to 343.63, 516.82 and 312.19

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Solution

The fourth proportional to 343.63, 516.82 and 312.19 is: 469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.63 : 516.82 = 312.19 : x
  2. Step 2: Convert to fraction form
    343.63/516.82 = 312.19/x
  3. Step 3: Cross multiply
    343.63x = 516.82 × 312.19
  4. Step 4: Simplify right side
    343.63x = 161,346.04
  5. Step 5: Solve for x
    x = 161,346.04/343.63
  6. Step 6: Final answer
    x = 469.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.