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Finding the Fourth Proportional to 343.16, 516.63 and 235.65

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Solution

The fourth proportional to 343.16, 516.63 and 235.65 is: 354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.16 : 516.63 = 235.65 : x
  2. Step 2: Convert to fraction form
    343.16/516.63 = 235.65/x
  3. Step 3: Cross multiply
    343.16x = 516.63 × 235.65
  4. Step 4: Simplify right side
    343.16x = 121,742.68
  5. Step 5: Solve for x
    x = 121,742.68/343.16
  6. Step 6: Final answer
    x = 354.77

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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.