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Finding the Fourth Proportional to 342.65, 516.02 and 310.52

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Solution

The fourth proportional to 342.65, 516.02 and 310.52 is: 467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.65 : 516.02 = 310.52 : x
  2. Step 2: Convert to fraction form
    342.65/516.02 = 310.52/x
  3. Step 3: Cross multiply
    342.65x = 516.02 × 310.52
  4. Step 4: Simplify right side
    342.65x = 160,234.53
  5. Step 5: Solve for x
    x = 160,234.53/342.65
  6. Step 6: Final answer
    x = 467.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.