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Finding the Fourth Proportional to 342.68, 514.25 and 233.06

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Solution

The fourth proportional to 342.68, 514.25 and 233.06 is: 349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.68 : 514.25 = 233.06 : x
  2. Step 2: Convert to fraction form
    342.68/514.25 = 233.06/x
  3. Step 3: Cross multiply
    342.68x = 514.25 × 233.06
  4. Step 4: Simplify right side
    342.68x = 119,847.37
  5. Step 5: Solve for x
    x = 119,847.37/342.68
  6. Step 6: Final answer
    x = 349.74

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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.