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Finding the Fourth Proportional to 346.10, 516.82 and 300.56

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Solution

The fourth proportional to 346.10, 516.82 and 300.56 is: 448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.10 : 516.82 = 300.56 : x
  2. Step 2: Convert to fraction form
    346.10/516.82 = 300.56/x
  3. Step 3: Cross multiply
    346.10x = 516.82 × 300.56
  4. Step 4: Simplify right side
    346.10x = 155,335.42
  5. Step 5: Solve for x
    x = 155,335.42/346.10
  6. Step 6: Final answer
    x = 448.82

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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.