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Finding the Fourth Proportional to 346.96, 516.14 and 343.48

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Solution

The fourth proportional to 346.96, 516.14 and 343.48 is: 510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.96 : 516.14 = 343.48 : x
  2. Step 2: Convert to fraction form
    346.96/516.14 = 343.48/x
  3. Step 3: Cross multiply
    346.96x = 516.14 × 343.48
  4. Step 4: Simplify right side
    346.96x = 177,283.77
  5. Step 5: Solve for x
    x = 177,283.77/346.96
  6. Step 6: Final answer
    x = 510.96

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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.